Finding the Fourth Proportional to 9,830.28, 13,566.18 and 5,639.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830.28 : 13,566.18 = 5,639.34 : x
2. Step 2: Convert to fraction form
   9,830.28/13,566.18 = 5,639.34/x
3. Step 3: Cross multiply
   9,830.28x = 13,566.18 × 5,639.34
4. Step 4: Simplify right side
   9,830.28x = 76,504,301.52
5. Step 5: Solve for x
   x = 76,504,301.52/9,830.28
6. Step 6: Final answer
   x = 7,782.51