Finding the Fourth Proportional to 9,830.34, 13,567.26 and 5,638.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830.34 : 13,567.26 = 5,638.62 : x
2. Step 2: Convert to fraction form
   9,830.34/13,567.26 = 5,638.62/x
3. Step 3: Cross multiply
   9,830.34x = 13,567.26 × 5,638.62
4. Step 4: Simplify right side
   9,830.34x = 76,500,623.58
5. Step 5: Solve for x
   x = 76,500,623.58/9,830.34
6. Step 6: Final answer
   x = 7,782.09