Finding the Fourth Proportional to 1,411.88, 2,112.52 and 1,002

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.88 : 2,112.52 = 1,002 : x
2. Step 2: Convert to fraction form
   1,411.88/2,112.52 = 1,002/x
3. Step 3: Cross multiply
   1,411.88x = 2,112.52 × 1,002
4. Step 4: Simplify right side
   1,411.88x = 2,116,745.04
5. Step 5: Solve for x
   x = 2,116,745.04/1,411.88
6. Step 6: Final answer
   x = 1,499.24