Finding the Fourth Proportional to 10,082.16, 13,913.86 and 5,606.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.16 : 13,913.86 = 5,606.38 : x
2. Step 2: Convert to fraction form
   10,082.16/13,913.86 = 5,606.38/x
3. Step 3: Cross multiply
   10,082.16x = 13,913.86 × 5,606.38
4. Step 4: Simplify right side
   10,082.16x = 78,006,386.43
5. Step 5: Solve for x
   x = 78,006,386.43/10,082.16
6. Step 6: Final answer
   x = 7,737.07