Finding the Fourth Proportional to 10,082.65, 13,914.52 and 5,606.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.65 : 13,914.52 = 5,606.82 : x
2. Step 2: Convert to fraction form
   10,082.65/13,914.52 = 5,606.82/x
3. Step 3: Cross multiply
   10,082.65x = 13,914.52 × 5,606.82
4. Step 4: Simplify right side
   10,082.65x = 78,016,218.66
5. Step 5: Solve for x
   x = 78,016,218.66/10,082.65
6. Step 6: Final answer
   x = 7,737.67