Finding the Fourth Proportional to 1,084.97, 1,498.13 and 1,002.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.97 : 1,498.13 = 1,002.05 : x
2. Step 2: Convert to fraction form
   1,084.97/1,498.13 = 1,002.05/x
3. Step 3: Cross multiply
   1,084.97x = 1,498.13 × 1,002.05
4. Step 4: Simplify right side
   1,084.97x = 1,501,196.16
5. Step 5: Solve for x
   x = 1,501,196.16/1,084.97
6. Step 6: Final answer
   x = 1,383.63