Finding the Fourth Proportional to 31,031.50, 46,548.20 and 7,657.94

Step by Step Solution

1. Step 1: Write the proportion equation
   31,031.50 : 46,548.20 = 7,657.94 : x
2. Step 2: Convert to fraction form
   31,031.50/46,548.20 = 7,657.94/x
3. Step 3: Cross multiply
   31,031.50x = 46,548.20 × 7,657.94
4. Step 4: Simplify right side
   31,031.50x = 356,463,322.71
5. Step 5: Solve for x
   x = 356,463,322.71/31,031.50
6. Step 6: Final answer
   x = 11,487.14