Finding the Fourth Proportional to 9,077.09, 12,527.78 and 5,542.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,077.09 : 12,527.78 = 5,542.37 : x
2. Step 2: Convert to fraction form
   9,077.09/12,527.78 = 5,542.37/x
3. Step 3: Cross multiply
   9,077.09x = 12,527.78 × 5,542.37
4. Step 4: Simplify right side
   9,077.09x = 69,433,592.04
5. Step 5: Solve for x
   x = 69,433,592.04/9,077.09
6. Step 6: Final answer
   x = 7,649.32