Finding the Fourth Proportional to 3,914.28, 5,402.56 and 2,588.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,914.28 : 5,402.56 = 2,588.16 : x
2. Step 2: Convert to fraction form
   3,914.28/5,402.56 = 2,588.16/x
3. Step 3: Cross multiply
   3,914.28x = 5,402.56 × 2,588.16
4. Step 4: Simplify right side
   3,914.28x = 13,982,689.69
5. Step 5: Solve for x
   x = 13,982,689.69/3,914.28
6. Step 6: Final answer
   x = 3,572.23