Finding the Fourth Proportional to 1,256.96, 1,886.52 and 1,002.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.96 : 1,886.52 = 1,002.08 : x
2. Step 2: Convert to fraction form
   1,256.96/1,886.52 = 1,002.08/x
3. Step 3: Cross multiply
   1,256.96x = 1,886.52 × 1,002.08
4. Step 4: Simplify right side
   1,256.96x = 1,890,443.96
5. Step 5: Solve for x
   x = 1,890,443.96/1,256.96
6. Step 6: Final answer
   x = 1,503.98