Finding the Fourth Proportional to 9,178.99, 12,666.98 and 5,200.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,178.99 : 12,666.98 = 5,200.10 : x
2. Step 2: Convert to fraction form
   9,178.99/12,666.98 = 5,200.10/x
3. Step 3: Cross multiply
   9,178.99x = 12,666.98 × 5,200.10
4. Step 4: Simplify right side
   9,178.99x = 65,869,559.86
5. Step 5: Solve for x
   x = 65,869,559.86/9,178.99
6. Step 6: Final answer
   x = 7,176.12