Finding the Fourth Proportional to 11,877.60, 16,385.92 and 7,159.16

Step by Step Solution

1. Step 1: Write the proportion equation
   11,877.60 : 16,385.92 = 7,159.16 : x
2. Step 2: Convert to fraction form
   11,877.60/16,385.92 = 7,159.16/x
3. Step 3: Cross multiply
   11,877.60x = 16,385.92 × 7,159.16
4. Step 4: Simplify right side
   11,877.60x = 117,309,423.03
5. Step 5: Solve for x
   x = 117,309,423.03/11,877.60
6. Step 6: Final answer
   x = 9,876.53