Finding the Fourth Proportional to 10,082.32, 13,914.11 and 5,606.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.32 : 13,914.11 = 5,606.16 : x
2. Step 2: Convert to fraction form
   10,082.32/13,914.11 = 5,606.16/x
3. Step 3: Cross multiply
   10,082.32x = 13,914.11 × 5,606.16
4. Step 4: Simplify right side
   10,082.32x = 78,004,726.92
5. Step 5: Solve for x
   x = 78,004,726.92/10,082.32
6. Step 6: Final answer
   x = 7,736.78