Finding the Fourth Proportional to 9,877.32, 13,630.92 and 5,897.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,877.32 : 13,630.92 = 5,897.69 : x
2. Step 2: Convert to fraction form
   9,877.32/13,630.92 = 5,897.69/x
3. Step 3: Cross multiply
   9,877.32x = 13,630.92 × 5,897.69
4. Step 4: Simplify right side
   9,877.32x = 80,390,901.42
5. Step 5: Solve for x
   x = 80,390,901.42/9,877.32
6. Step 6: Final answer
   x = 8,138.94