Finding the Fourth Proportional to 9,892.82, 14,817.90 and 9,311.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892.82 : 14,817.90 = 9,311.24 : x
2. Step 2: Convert to fraction form
   9,892.82/14,817.90 = 9,311.24/x
3. Step 3: Cross multiply
   9,892.82x = 14,817.90 × 9,311.24
4. Step 4: Simplify right side
   9,892.82x = 137,973,023.20
5. Step 5: Solve for x
   x = 137,973,023.20/9,892.82
6. Step 6: Final answer
   x = 13,946.78