Finding the Fourth Proportional to 5,114.52, 7,665.57 and 4,499.46

Step by Step Solution

1. Step 1: Write the proportion equation
   5,114.52 : 7,665.57 = 4,499.46 : x
2. Step 2: Convert to fraction form
   5,114.52/7,665.57 = 4,499.46/x
3. Step 3: Cross multiply
   5,114.52x = 7,665.57 × 4,499.46
4. Step 4: Simplify right side
   5,114.52x = 34,490,925.59
5. Step 5: Solve for x
   x = 34,490,925.59/5,114.52
6. Step 6: Final answer
   x = 6,743.73