Finding the Fourth Proportional to 32,002.89, 47,995.02 and 9,811.32

Step by Step Solution

1. Step 1: Write the proportion equation
   32,002.89 : 47,995.02 = 9,811.32 : x
2. Step 2: Convert to fraction form
   32,002.89/47,995.02 = 9,811.32/x
3. Step 3: Cross multiply
   32,002.89x = 47,995.02 × 9,811.32
4. Step 4: Simplify right side
   32,002.89x = 470,894,499.63
5. Step 5: Solve for x
   x = 470,894,499.63/32,002.89
6. Step 6: Final answer
   x = 14,714.12