Finding the Fourth Proportional to 6,400.82, 8,832.33 and 3,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,400.82 : 8,832.33 = 3,567.50 : x
2. Step 2: Convert to fraction form
   6,400.82/8,832.33 = 3,567.50/x
3. Step 3: Cross multiply
   6,400.82x = 8,832.33 × 3,567.50
4. Step 4: Simplify right side
   6,400.82x = 31,509,337.28
5. Step 5: Solve for x
   x = 31,509,337.28/6,400.82
6. Step 6: Final answer
   x = 4,922.70