Finding the Fourth Proportional to 82,114.30, 123,175.10 and 32,189.95

Step by Step Solution

1. Step 1: Write the proportion equation
   82,114.30 : 123,175.10 = 32,189.95 : x
2. Step 2: Convert to fraction form
   82,114.30/123,175.10 = 32,189.95/x
3. Step 3: Cross multiply
   82,114.30x = 123,175.10 × 32,189.95
4. Step 4: Simplify right side
   82,114.30x = 3,965,000,310.25
5. Step 5: Solve for x
   x = 3,965,000,310.25/82,114.30
6. Step 6: Final answer
   x = 48,286.36