Finding the Fourth Proportional to 9,540.71, 14,298.74 and 4,271.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,540.71 : 14,298.74 = 4,271.86 : x
2. Step 2: Convert to fraction form
   9,540.71/14,298.74 = 4,271.86/x
3. Step 3: Cross multiply
   9,540.71x = 14,298.74 × 4,271.86
4. Step 4: Simplify right side
   9,540.71x = 61,082,215.46
5. Step 5: Solve for x
   x = 61,082,215.46/9,540.71
6. Step 6: Final answer
   x = 6,402.27