Finding the Fourth Proportional to 105,869.31, 158,663.79 and 77,657.27

Step by Step Solution

1. Step 1: Write the proportion equation
   105,869.31 : 158,663.79 = 77,657.27 : x
2. Step 2: Convert to fraction form
   105,869.31/158,663.79 = 77,657.27/x
3. Step 3: Cross multiply
   105,869.31x = 158,663.79 × 77,657.27
4. Step 4: Simplify right side
   105,869.31x = 12,321,395,985.93
5. Step 5: Solve for x
   x = 12,321,395,985.93/105,869.31
6. Step 6: Final answer
   x = 116,383.08