Finding the Fourth Proportional to 76,564.34, 114,729.56 and 32,166.82

Step by Step Solution

1. Step 1: Write the proportion equation
   76,564.34 : 114,729.56 = 32,166.82 : x
2. Step 2: Convert to fraction form
   76,564.34/114,729.56 = 32,166.82/x
3. Step 3: Cross multiply
   76,564.34x = 114,729.56 × 32,166.82
4. Step 4: Simplify right side
   76,564.34x = 3,690,484,370.72
5. Step 5: Solve for x
   x = 3,690,484,370.72/76,564.34
6. Step 6: Final answer
   x = 48,201.09