Finding the Fourth Proportional to 9,401.64, 12,974.28 and 5,864.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.64 : 12,974.28 = 5,864.88 : x
2. Step 2: Convert to fraction form
   9,401.64/12,974.28 = 5,864.88/x
3. Step 3: Cross multiply
   9,401.64x = 12,974.28 × 5,864.88
4. Step 4: Simplify right side
   9,401.64x = 76,092,595.29
5. Step 5: Solve for x
   x = 76,092,595.29/9,401.64
6. Step 6: Final answer
   x = 8,093.54