Finding the Fourth Proportional to 54,782.10, 82,259.55 and 31,454.10

Step by Step Solution

1. Step 1: Write the proportion equation
   54,782.10 : 82,259.55 = 31,454.10 : x
2. Step 2: Convert to fraction form
   54,782.10/82,259.55 = 31,454.10/x
3. Step 3: Cross multiply
   54,782.10x = 82,259.55 × 31,454.10
4. Step 4: Simplify right side
   54,782.10x = 2,587,400,111.66
5. Step 5: Solve for x
   x = 2,587,400,111.66/54,782.10
6. Step 6: Final answer
   x = 47,230.76