Finding the Fourth Proportional to 9,897.57, 13,658.30 and 5,648.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,897.57 : 13,658.30 = 5,648.86 : x
2. Step 2: Convert to fraction form
   9,897.57/13,658.30 = 5,648.86/x
3. Step 3: Cross multiply
   9,897.57x = 13,658.30 × 5,648.86
4. Step 4: Simplify right side
   9,897.57x = 77,153,824.54
5. Step 5: Solve for x
   x = 77,153,824.54/9,897.57
6. Step 6: Final answer
   x = 7,795.23