Finding the Fourth Proportional to 9,180.02, 12,669.35 and 5,200.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,180.02 : 12,669.35 = 5,200.82 : x
2. Step 2: Convert to fraction form
   9,180.02/12,669.35 = 5,200.82/x
3. Step 3: Cross multiply
   9,180.02x = 12,669.35 × 5,200.82
4. Step 4: Simplify right side
   9,180.02x = 65,891,008.87
5. Step 5: Solve for x
   x = 65,891,008.87/9,180.02
6. Step 6: Final answer
   x = 7,177.65