Finding the Fourth Proportional to 1,863.78, 2,569.71 and 1,566.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,863.78 : 2,569.71 = 1,566.19 : x
2. Step 2: Convert to fraction form
   1,863.78/2,569.71 = 1,566.19/x
3. Step 3: Cross multiply
   1,863.78x = 2,569.71 × 1,566.19
4. Step 4: Simplify right side
   1,863.78x = 4,024,654.10
5. Step 5: Solve for x
   x = 4,024,654.10/1,863.78
6. Step 6: Final answer
   x = 2,159.40