Finding the Fourth Proportional to 55,978.80, 77,252.76 and 30,829.20

Step by Step Solution

1. Step 1: Write the proportion equation
   55,978.80 : 77,252.76 = 30,829.20 : x
2. Step 2: Convert to fraction form
   55,978.80/77,252.76 = 30,829.20/x
3. Step 3: Cross multiply
   55,978.80x = 77,252.76 × 30,829.20
4. Step 4: Simplify right side
   55,978.80x = 2,381,640,788.59
5. Step 5: Solve for x
   x = 2,381,640,788.59/55,978.80
6. Step 6: Final answer
   x = 42,545.41