Finding the Fourth Proportional to 1,866.50, 2,575.78 and 1,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,866.50 : 2,575.78 = 1,038.50 : x
2. Step 2: Convert to fraction form
   1,866.50/2,575.78 = 1,038.50/x
3. Step 3: Cross multiply
   1,866.50x = 2,575.78 × 1,038.50
4. Step 4: Simplify right side
   1,866.50x = 2,674,947.53
5. Step 5: Solve for x
   x = 2,674,947.53/1,866.50
6. Step 6: Final answer
   x = 1,433.14