Finding the Fourth Proportional to 9,128.10, 12,594.63 and 5,542.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,128.10 : 12,594.63 = 5,542.23 : x
2. Step 2: Convert to fraction form
   9,128.10/12,594.63 = 5,542.23/x
3. Step 3: Cross multiply
   9,128.10x = 12,594.63 × 5,542.23
4. Step 4: Simplify right side
   9,128.10x = 69,802,336.22
5. Step 5: Solve for x
   x = 69,802,336.22/9,128.10
6. Step 6: Final answer
   x = 7,646.97