Finding the Fourth Proportional to 10,082.80, 13,914.59 and 5,606.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.80 : 13,914.59 = 5,606.74 : x
2. Step 2: Convert to fraction form
   10,082.80/13,914.59 = 5,606.74/x
3. Step 3: Cross multiply
   10,082.80x = 13,914.59 × 5,606.74
4. Step 4: Simplify right side
   10,082.80x = 78,015,488.34
5. Step 5: Solve for x
   x = 78,015,488.34/10,082.80
6. Step 6: Final answer
   x = 7,737.48