Finding the Fourth Proportional to 10,082.39, 13,913.71 and 5,606.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.39 : 13,913.71 = 5,606.10 : x
2. Step 2: Convert to fraction form
   10,082.39/13,913.71 = 5,606.10/x
3. Step 3: Cross multiply
   10,082.39x = 13,913.71 × 5,606.10
4. Step 4: Simplify right side
   10,082.39x = 78,001,594.08
5. Step 5: Solve for x
   x = 78,001,594.08/10,082.39
6. Step 6: Final answer
   x = 7,736.42