Finding the Fourth Proportional to 6,288.12, 9,422.10 and 4,557.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,288.12 : 9,422.10 = 4,557.72 : x
2. Step 2: Convert to fraction form
   6,288.12/9,422.10 = 4,557.72/x
3. Step 3: Cross multiply
   6,288.12x = 9,422.10 × 4,557.72
4. Step 4: Simplify right side
   6,288.12x = 42,943,293.61
5. Step 5: Solve for x
   x = 42,943,293.61/6,288.12
6. Step 6: Final answer
   x = 6,829.27