Finding the Fourth Proportional to 9,077.34, 12,528.12 and 5,542.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,077.34 : 12,528.12 = 5,542.62 : x
2. Step 2: Convert to fraction form
   9,077.34/12,528.12 = 5,542.62/x
3. Step 3: Cross multiply
   9,077.34x = 12,528.12 × 5,542.62
4. Step 4: Simplify right side
   9,077.34x = 69,438,608.47
5. Step 5: Solve for x
   x = 69,438,608.47/9,077.34
6. Step 6: Final answer
   x = 7,649.66