Finding the Fourth Proportional to 31,038.64, 46,557.42 and 7,665.10

Step by Step Solution

1. Step 1: Write the proportion equation
   31,038.64 : 46,557.42 = 7,665.10 : x
2. Step 2: Convert to fraction form
   31,038.64/46,557.42 = 7,665.10/x
3. Step 3: Cross multiply
   31,038.64x = 46,557.42 × 7,665.10
4. Step 4: Simplify right side
   31,038.64x = 356,867,280.04
5. Step 5: Solve for x
   x = 356,867,280.04/31,038.64
6. Step 6: Final answer
   x = 11,497.52