Finding the Fourth Proportional to 8,106.57, 12,152.57 and 5,642.55

Step by Step Solution

1. Step 1: Write the proportion equation
   8,106.57 : 12,152.57 = 5,642.55 : x
2. Step 2: Convert to fraction form
   8,106.57/12,152.57 = 5,642.55/x
3. Step 3: Cross multiply
   8,106.57x = 12,152.57 × 5,642.55
4. Step 4: Simplify right side
   8,106.57x = 68,571,455.64
5. Step 5: Solve for x
   x = 68,571,455.64/8,106.57
6. Step 6: Final answer
   x = 8,458.75