Finding the Fourth Proportional to 9,830.42, 13,566.16 and 5,581.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830.42 : 13,566.16 = 5,581.38 : x
2. Step 2: Convert to fraction form
   9,830.42/13,566.16 = 5,581.38/x
3. Step 3: Cross multiply
   9,830.42x = 13,566.16 × 5,581.38
4. Step 4: Simplify right side
   9,830.42x = 75,717,894.10
5. Step 5: Solve for x
   x = 75,717,894.10/9,830.42
6. Step 6: Final answer
   x = 7,702.41