Finding the Fourth Proportional to 1,154.82, 1,729.52 and 1,002

Step by Step Solution

1. Step 1: Write the proportion equation
   1,154.82 : 1,729.52 = 1,002 : x
2. Step 2: Convert to fraction form
   1,154.82/1,729.52 = 1,002/x
3. Step 3: Cross multiply
   1,154.82x = 1,729.52 × 1,002
4. Step 4: Simplify right side
   1,154.82x = 1,732,979.04
5. Step 5: Solve for x
   x = 1,732,979.04/1,154.82
6. Step 6: Final answer
   x = 1,500.65