Finding the Fourth Proportional to 9,098.64, 12,549.84 and 5,563.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,098.64 : 12,549.84 = 5,563.59 : x
2. Step 2: Convert to fraction form
   9,098.64/12,549.84 = 5,563.59/x
3. Step 3: Cross multiply
   9,098.64x = 12,549.84 × 5,563.59
4. Step 4: Simplify right side
   9,098.64x = 69,822,164.33
5. Step 5: Solve for x
   x = 69,822,164.33/9,098.64
6. Step 6: Final answer
   x = 7,673.91