Finding the Fourth Proportional to 82,185.86, 123,282.31 and 32,276.78

Step by Step Solution

1. Step 1: Write the proportion equation
   82,185.86 : 123,282.31 = 32,276.78 : x
2. Step 2: Convert to fraction form
   82,185.86/123,282.31 = 32,276.78/x
3. Step 3: Cross multiply
   82,185.86x = 123,282.31 × 32,276.78
4. Step 4: Simplify right side
   82,185.86x = 3,979,155,381.35
5. Step 5: Solve for x
   x = 3,979,155,381.35/82,185.86
6. Step 6: Final answer
   x = 48,416.54