Finding the Fourth Proportional to 9,937.29, 13,713.69 and 5,461.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,937.29 : 13,713.69 = 5,461.14 : x
2. Step 2: Convert to fraction form
   9,937.29/13,713.69 = 5,461.14/x
3. Step 3: Cross multiply
   9,937.29x = 13,713.69 × 5,461.14
4. Step 4: Simplify right side
   9,937.29x = 74,892,381.01
5. Step 5: Solve for x
   x = 74,892,381.01/9,937.29
6. Step 6: Final answer
   x = 7,536.50