Finding the Fourth Proportional to 9,814.50, 14,754.15 and 9,092.79

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.50 : 14,754.15 = 9,092.79 : x
2. Step 2: Convert to fraction form
   9,814.50/14,754.15 = 9,092.79/x
3. Step 3: Cross multiply
   9,814.50x = 14,754.15 × 9,092.79
4. Step 4: Simplify right side
   9,814.50x = 134,156,387.58
5. Step 5: Solve for x
   x = 134,156,387.58/9,814.50
6. Step 6: Final answer
   x = 13,669.20