Finding the Fourth Proportional to 9,897.75, 13,658.50 and 5,921.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,897.75 : 13,658.50 = 5,921.06 : x
2. Step 2: Convert to fraction form
   9,897.75/13,658.50 = 5,921.06/x
3. Step 3: Cross multiply
   9,897.75x = 13,658.50 × 5,921.06
4. Step 4: Simplify right side
   9,897.75x = 80,872,768.40
5. Step 5: Solve for x
   x = 80,872,768.40/9,897.75
6. Step 6: Final answer
   x = 8,170.82