Finding the Fourth Proportional to 9,830.37, 13,565.78 and 5,638.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830.37 : 13,565.78 = 5,638.53 : x
2. Step 2: Convert to fraction form
   9,830.37/13,565.78 = 5,638.53/x
3. Step 3: Cross multiply
   9,830.37x = 13,565.78 × 5,638.53
4. Step 4: Simplify right side
   9,830.37x = 76,491,029.31
5. Step 5: Solve for x
   x = 76,491,029.31/9,830.37
6. Step 6: Final answer
   x = 7,781.09