Finding the Fourth Proportional to 76,565.34, 114,731.05 and 32,167.82

Step by Step Solution

1. Step 1: Write the proportion equation
   76,565.34 : 114,731.05 = 32,167.82 : x
2. Step 2: Convert to fraction form
   76,565.34/114,731.05 = 32,167.82/x
3. Step 3: Cross multiply
   76,565.34x = 114,731.05 × 32,167.82
4. Step 4: Simplify right side
   76,565.34x = 3,690,647,764.81
5. Step 5: Solve for x
   x = 3,690,647,764.81/76,565.34
6. Step 6: Final answer
   x = 48,202.59