Finding the Fourth Proportional to 9,830.52, 13,565.94 and 5,638.44

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830.52 : 13,565.94 = 5,638.44 : x
2. Step 2: Convert to fraction form
   9,830.52/13,565.94 = 5,638.44/x
3. Step 3: Cross multiply
   9,830.52x = 13,565.94 × 5,638.44
4. Step 4: Simplify right side
   9,830.52x = 76,490,738.73
5. Step 5: Solve for x
   x = 76,490,738.73/9,830.52
6. Step 6: Final answer
   x = 7,780.95