Finding the Fourth Proportional to 82,406.40, 123,523.20 and 32,467.20

Step by Step Solution

1. Step 1: Write the proportion equation
   82,406.40 : 123,523.20 = 32,467.20 : x
2. Step 2: Convert to fraction form
   82,406.40/123,523.20 = 32,467.20/x
3. Step 3: Cross multiply
   82,406.40x = 123,523.20 × 32,467.20
4. Step 4: Simplify right side
   82,406.40x = 4,010,452,439.04
5. Step 5: Solve for x
   x = 4,010,452,439.04/82,406.40
6. Step 6: Final answer
   x = 48,666.76