Finding the Fourth Proportional to 9,830, 13,566.22 and 5,639.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830 : 13,566.22 = 5,639.06 : x
2. Step 2: Convert to fraction form
   9,830/13,566.22 = 5,639.06/x
3. Step 3: Cross multiply
   9,830x = 13,566.22 × 5,639.06
4. Step 4: Simplify right side
   9,830x = 76,500,728.55
5. Step 5: Solve for x
   x = 76,500,728.55/9,830
6. Step 6: Final answer
   x = 7,782.37