Finding the Fourth Proportional to 5,669.82, 7,824.82 and 3,152.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,669.82 : 7,824.82 = 3,152.16 : x
2. Step 2: Convert to fraction form
   5,669.82/7,824.82 = 3,152.16/x
3. Step 3: Cross multiply
   5,669.82x = 7,824.82 × 3,152.16
4. Step 4: Simplify right side
   5,669.82x = 24,665,084.61
5. Step 5: Solve for x
   x = 24,665,084.61/5,669.82
6. Step 6: Final answer
   x = 4,350.24