Finding the Fourth Proportional to 9,872.04, 13,624.07 and 5,566.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,872.04 : 13,624.07 = 5,566.20 : x
2. Step 2: Convert to fraction form
   9,872.04/13,624.07 = 5,566.20/x
3. Step 3: Cross multiply
   9,872.04x = 13,624.07 × 5,566.20
4. Step 4: Simplify right side
   9,872.04x = 75,834,270.60
5. Step 5: Solve for x
   x = 75,834,270.60/9,872.04
6. Step 6: Final answer
   x = 7,681.72