Finding the Fourth Proportional to 10,082.04, 13,913.67 and 5,606.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.04 : 13,913.67 = 5,606.25 : x
2. Step 2: Convert to fraction form
   10,082.04/13,913.67 = 5,606.25/x
3. Step 3: Cross multiply
   10,082.04x = 13,913.67 × 5,606.25
4. Step 4: Simplify right side
   10,082.04x = 78,003,481.28
5. Step 5: Solve for x
   x = 78,003,481.28/10,082.04
6. Step 6: Final answer
   x = 7,736.88