Finding the Fourth Proportional to 1,863.52, 2,570.76 and 1,200.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,863.52 : 2,570.76 = 1,200.16 : x
2. Step 2: Convert to fraction form
   1,863.52/2,570.76 = 1,200.16/x
3. Step 3: Cross multiply
   1,863.52x = 2,570.76 × 1,200.16
4. Step 4: Simplify right side
   1,863.52x = 3,085,323.32
5. Step 5: Solve for x
   x = 3,085,323.32/1,863.52
6. Step 6: Final answer
   x = 1,655.64