Finding the Fourth Proportional to 2,465.28, 3,402.42 and 1,583.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.28 : 3,402.42 = 1,583.40 : x
2. Step 2: Convert to fraction form
   2,465.28/3,402.42 = 1,583.40/x
3. Step 3: Cross multiply
   2,465.28x = 3,402.42 × 1,583.40
4. Step 4: Simplify right side
   2,465.28x = 5,387,391.83
5. Step 5: Solve for x
   x = 5,387,391.83/2,465.28
6. Step 6: Final answer
   x = 2,185.31