Finding the Fourth Proportional to 9,078.94, 12,529.62 and 5,542.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,078.94 : 12,529.62 = 5,542.83 : x
2. Step 2: Convert to fraction form
   9,078.94/12,529.62 = 5,542.83/x
3. Step 3: Cross multiply
   9,078.94x = 12,529.62 × 5,542.83
4. Step 4: Simplify right side
   9,078.94x = 69,449,566.72
5. Step 5: Solve for x
   x = 69,449,566.72/9,078.94
6. Step 6: Final answer
   x = 7,649.53