Finding the Fourth Proportional to 8,978.12, 12,392.10 and 5,200.52

Step by Step Solution

1. Step 1: Write the proportion equation
   8,978.12 : 12,392.10 = 5,200.52 : x
2. Step 2: Convert to fraction form
   8,978.12/12,392.10 = 5,200.52/x
3. Step 3: Cross multiply
   8,978.12x = 12,392.10 × 5,200.52
4. Step 4: Simplify right side
   8,978.12x = 64,445,363.89
5. Step 5: Solve for x
   x = 64,445,363.89/8,978.12
6. Step 6: Final answer
   x = 7,178.05