Finding the Fourth Proportional to 9,897.59, 13,658.76 and 5,705.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,897.59 : 13,658.76 = 5,705.84 : x
2. Step 2: Convert to fraction form
   9,897.59/13,658.76 = 5,705.84/x
3. Step 3: Cross multiply
   9,897.59x = 13,658.76 × 5,705.84
4. Step 4: Simplify right side
   9,897.59x = 77,934,630.86
5. Step 5: Solve for x
   x = 77,934,630.86/9,897.59
6. Step 6: Final answer
   x = 7,874.11