Finding the Fourth Proportional to 10,082.64, 13,913.25 and 5,606.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.64 : 13,913.25 = 5,606.12 : x
2. Step 2: Convert to fraction form
   10,082.64/13,913.25 = 5,606.12/x
3. Step 3: Cross multiply
   10,082.64x = 13,913.25 × 5,606.12
4. Step 4: Simplify right side
   10,082.64x = 77,999,349.09
5. Step 5: Solve for x
   x = 77,999,349.09/10,082.64
6. Step 6: Final answer
   x = 7,736.00