Finding the Fourth Proportional to 6,592.31, 9,877.52 and 4,640.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,592.31 : 9,877.52 = 4,640.42 : x
2. Step 2: Convert to fraction form
   6,592.31/9,877.52 = 4,640.42/x
3. Step 3: Cross multiply
   6,592.31x = 9,877.52 × 4,640.42
4. Step 4: Simplify right side
   6,592.31x = 45,835,803.57
5. Step 5: Solve for x
   x = 45,835,803.57/6,592.31
6. Step 6: Final answer
   x = 6,952.92