Caution: Translations of Quran and Ḥadīth may lead to possible misapplications and misinterpretations. This site is intended for students of sacred knowledge that are proficient in comprehending classical Arabic and have a strong foundation in Islamic sciences. Also note that religious injunctions rely on several aspects beyond what one may glean through reading individual aḥādīth.
bayhaqi:16399al-Bukhārī Ḥanash b. al-Muʿtamir

[Machine] That two-thirds of the debt should be borne by the first party, one-third of it on the second party, and one-third on the third party. Because if he died as a result of his own action and the action of two others, then two-thirds of the debt falls on his own action and the two-thirds become obligatory on the second party. In the second situation, two-thirds of the debt are divided into one-third on the first party and one-third on the third party. In the third situation, there are two possibilities: one is that half of the debt falls on the second party and the other is that two-thirds of the debt fall on the first and the second parties. In the fourth situation, the entire debt falls on the third party, and there is another possibility that it falls on the first, second, and third parties. If the hadith is authentic, then the analogy is left to it. And Allah knows best.  

البيهقي:١٦٣٩٩قَالَ الْبُخَارِيُّ حَنَشُ بْنُ الْمُعْتَمِرِ وَقَالَ بَعْضُهُمْ ابْنُ رَبِيعَةَ يَتَكَلَّمُونَ فِي حَدِيثِهِ أَخْبَرَنَاهُ أَبُو سَعْدٍ الْمَالِينِيُّ أنبأ أَبُو أَحْمَدَ بْنُ عَدِيٍّ قَالَ سَمِعْتُ ابْنَ حَمَّادٍ يَذْكُرُهُ عَنِ الْبُخَارِيِّ وَأَصْحَابُنَا يَقُولُونَ الْقِيَاسُ

أَنْ يَكُونَ فِي الْأَوَّلِ ثُلُثَا الدِّيَةِ ثُلُثُهَا عَلَى عَاقِلَةِ الثَّانِي وَثُلُثُهَا عَلَى عَاقِلَةِ الثَّالِثِ؛ لِأَنَّهُ مَاتَ مِنْ فِعْلِ نَفْسِهِ وَفِعْلِ اثْنَيْنِ فَسَقَطَ ثُلُثُ الدِّيَةِ لِفِعْلِ نَفْسِهِ وَوَجَبَ الثُّلُثَانِ وَفِي الثَّانِي ثُلُثَا الدِّيَةِ ثُلُثُهَا عَلَى عَاقِلَةِ الْأَوَّلِ وَثُلُثُهَا عَلَى عَاقِلَةِ الثَّالِثِ وَفِي الثَّالِثِ وَجْهَانِ أَحَدُهُمَا نِصْفُ الدِّيَةِ عَلَى عَاقِلَةِ الثَّانِي وَالْآخَرُ ثُلُثَا الدِّيَةِ عَلَى عَاقِلَةِ الْأَوَّلِ وَالثَّانِي وَفِي الرَّابِعِ جَمِيعُ الدِّيَةِ عَلَى عَاقِلَةِ الثَّالِثِ وَفِيهِ وَجْهٌ آخَرُ أَنَّهَا عَلَى عَاقِلَةِ الْأَوَّلِ وَالثَّانِي وَالثَّالِثِ فَإِنْ صَحَّ الْحَدِيثُ تُرِكَ لَهُ الْقِيَاسُ وَاللهُ أَعْلَمُ