Finding the Fourth Proportional to 31,875.24, 47,820.42 and 9,689.88

Step by Step Solution

1. Step 1: Write the proportion equation
   31,875.24 : 47,820.42 = 9,689.88 : x
2. Step 2: Convert to fraction form
   31,875.24/47,820.42 = 9,689.88/x
3. Step 3: Cross multiply
   31,875.24x = 47,820.42 × 9,689.88
4. Step 4: Simplify right side
   31,875.24x = 463,374,131.35
5. Step 5: Solve for x
   x = 463,374,131.35/31,875.24
6. Step 6: Final answer
   x = 14,537.12