Finding the Fourth Proportional to 9,004.80, 12,426.30 and 5,649.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,004.80 : 12,426.30 = 5,649.42 : x
2. Step 2: Convert to fraction form
   9,004.80/12,426.30 = 5,649.42/x
3. Step 3: Cross multiply
   9,004.80x = 12,426.30 × 5,649.42
4. Step 4: Simplify right side
   9,004.80x = 70,201,387.75
5. Step 5: Solve for x
   x = 70,201,387.75/9,004.80
6. Step 6: Final answer
   x = 7,796.00