Finding the Fourth Proportional to 9,200.78, 12,697.59 and 5,426.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,200.78 : 12,697.59 = 5,426.15 : x
2. Step 2: Convert to fraction form
   9,200.78/12,697.59 = 5,426.15/x
3. Step 3: Cross multiply
   9,200.78x = 12,697.59 × 5,426.15
4. Step 4: Simplify right side
   9,200.78x = 68,899,028.34
5. Step 5: Solve for x
   x = 68,899,028.34/9,200.78
6. Step 6: Final answer
   x = 7,488.39