Finding the Fourth Proportional to 9,875.85, 13,628.84 and 5,897.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,875.85 : 13,628.84 = 5,897.31 : x
2. Step 2: Convert to fraction form
   9,875.85/13,628.84 = 5,897.31/x
3. Step 3: Cross multiply
   9,875.85x = 13,628.84 × 5,897.31
4. Step 4: Simplify right side
   9,875.85x = 80,373,494.42
5. Step 5: Solve for x
   x = 80,373,494.42/9,875.85
6. Step 6: Final answer
   x = 8,138.39