Finding the Fourth Proportional to 31,005, 46,502.50 and 8,510.42

Step by Step Solution

1. Step 1: Write the proportion equation
   31,005 : 46,502.50 = 8,510.42 : x
2. Step 2: Convert to fraction form
   31,005/46,502.50 = 8,510.42/x
3. Step 3: Cross multiply
   31,005x = 46,502.50 × 8,510.42
4. Step 4: Simplify right side
   31,005x = 395,755,806.05
5. Step 5: Solve for x
   x = 395,755,806.05/31,005
6. Step 6: Final answer
   x = 12,764.26