Finding the Fourth Proportional to 10,082.83, 13,914.25 and 5,606.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.83 : 13,914.25 = 5,606.31 : x
2. Step 2: Convert to fraction form
   10,082.83/13,914.25 = 5,606.31/x
3. Step 3: Cross multiply
   10,082.83x = 13,914.25 × 5,606.31
4. Step 4: Simplify right side
   10,082.83x = 78,007,598.92
5. Step 5: Solve for x
   x = 78,007,598.92/10,082.83
6. Step 6: Final answer
   x = 7,736.68