Finding the Fourth Proportional to 1,643.57, 2,264.27 and 1,145.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,643.57 : 2,264.27 = 1,145.31 : x
2. Step 2: Convert to fraction form
   1,643.57/2,264.27 = 1,145.31/x
3. Step 3: Cross multiply
   1,643.57x = 2,264.27 × 1,145.31
4. Step 4: Simplify right side
   1,643.57x = 2,593,291.07
5. Step 5: Solve for x
   x = 2,593,291.07/1,643.57
6. Step 6: Final answer
   x = 1,577.84