Finding the Fourth Proportional to 9,830.42, 13,566.15 and 5,581.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830.42 : 13,566.15 = 5,581.37 : x
2. Step 2: Convert to fraction form
   9,830.42/13,566.15 = 5,581.37/x
3. Step 3: Cross multiply
   9,830.42x = 13,566.15 × 5,581.37
4. Step 4: Simplify right side
   9,830.42x = 75,717,702.63
5. Step 5: Solve for x
   x = 75,717,702.63/9,830.42
6. Step 6: Final answer
   x = 7,702.39