Finding the Fourth Proportional to 105,870.13, 158,665.02 and 77,658.09

Step by Step Solution

1. Step 1: Write the proportion equation
   105,870.13 : 158,665.02 = 77,658.09 : x
2. Step 2: Convert to fraction form
   105,870.13/158,665.02 = 77,658.09/x
3. Step 3: Cross multiply
   105,870.13x = 158,665.02 × 77,658.09
4. Step 4: Simplify right side
   105,870.13x = 12,321,621,516.80
5. Step 5: Solve for x
   x = 12,321,621,516.80/105,870.13
6. Step 6: Final answer
   x = 116,384.30