Finding the Fourth Proportional to 2,142.30, 3,214.35 and 1,599.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.30 : 3,214.35 = 1,599.20 : x
2. Step 2: Convert to fraction form
   2,142.30/3,214.35 = 1,599.20/x
3. Step 3: Cross multiply
   2,142.30x = 3,214.35 × 1,599.20
4. Step 4: Simplify right side
   2,142.30x = 5,140,372.45
5. Step 5: Solve for x
   x = 5,140,372.45/2,142.30
6. Step 6: Final answer
   x = 2,399.46