Finding the Fourth Proportional to 10,082.43, 13,913.64 and 5,606.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.43 : 13,913.64 = 5,606.07 : x
2. Step 2: Convert to fraction form
   10,082.43/13,913.64 = 5,606.07/x
3. Step 3: Cross multiply
   10,082.43x = 13,913.64 × 5,606.07
4. Step 4: Simplify right side
   10,082.43x = 78,000,839.79
5. Step 5: Solve for x
   x = 78,000,839.79/10,082.43
6. Step 6: Final answer
   x = 7,736.31