Finding the Fourth Proportional to 5,314.43, 7,334.70 and 3,827.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,314.43 : 7,334.70 = 3,827.27 : x
2. Step 2: Convert to fraction form
   5,314.43/7,334.70 = 3,827.27/x
3. Step 3: Cross multiply
   5,314.43x = 7,334.70 × 3,827.27
4. Step 4: Simplify right side
   5,314.43x = 28,071,877.27
5. Step 5: Solve for x
   x = 28,071,877.27/5,314.43
6. Step 6: Final answer
   x = 5,282.20