Finding the Fourth Proportional to 78,580.96, 117,892.72 and 31,866.40

Step by Step Solution

1. Step 1: Write the proportion equation
   78,580.96 : 117,892.72 = 31,866.40 : x
2. Step 2: Convert to fraction form
   78,580.96/117,892.72 = 31,866.40/x
3. Step 3: Cross multiply
   78,580.96x = 117,892.72 × 31,866.40
4. Step 4: Simplify right side
   78,580.96x = 3,756,816,572.61
5. Step 5: Solve for x
   x = 3,756,816,572.61/78,580.96
6. Step 6: Final answer
   x = 47,808.23