Finding the Fourth Proportional to 82,138.68, 123,221.31 and 32,191.69

Step by Step Solution

1. Step 1: Write the proportion equation
   82,138.68 : 123,221.31 = 32,191.69 : x
2. Step 2: Convert to fraction form
   82,138.68/123,221.31 = 32,191.69/x
3. Step 3: Cross multiply
   82,138.68x = 123,221.31 × 32,191.69
4. Step 4: Simplify right side
   82,138.68x = 3,966,702,212.91
5. Step 5: Solve for x
   x = 3,966,702,212.91/82,138.68
6. Step 6: Final answer
   x = 48,292.74