Finding the Fourth Proportional to 1,866.50, 2,575.83 and 1,027.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,866.50 : 2,575.83 = 1,027.16 : x
2. Step 2: Convert to fraction form
   1,866.50/2,575.83 = 1,027.16/x
3. Step 3: Cross multiply
   1,866.50x = 2,575.83 × 1,027.16
4. Step 4: Simplify right side
   1,866.50x = 2,645,789.54
5. Step 5: Solve for x
   x = 2,645,789.54/1,866.50
6. Step 6: Final answer
   x = 1,417.51