Finding the Fourth Proportional to 10,082.90, 13,913.99 and 5,606.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.90 : 13,913.99 = 5,606.31 : x
2. Step 2: Convert to fraction form
   10,082.90/13,913.99 = 5,606.31/x
3. Step 3: Cross multiply
   10,082.90x = 13,913.99 × 5,606.31
4. Step 4: Simplify right side
   10,082.90x = 78,006,113.25
5. Step 5: Solve for x
   x = 78,006,113.25/10,082.90
6. Step 6: Final answer
   x = 7,736.48