Finding the Fourth Proportional to 31,827.58, 47,730.29 and 16,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,827.58 : 47,730.29 = 16,026.50 : x
2. Step 2: Convert to fraction form
   31,827.58/47,730.29 = 16,026.50/x
3. Step 3: Cross multiply
   31,827.58x = 47,730.29 × 16,026.50
4. Step 4: Simplify right side
   31,827.58x = 764,949,492.69
5. Step 5: Solve for x
   x = 764,949,492.69/31,827.58
6. Step 6: Final answer
   x = 24,034.17