Finding the Fourth Proportional to 1,665.12, 2,296.80 and 1,002.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.12 : 2,296.80 = 1,002.18 : x
2. Step 2: Convert to fraction form
   1,665.12/2,296.80 = 1,002.18/x
3. Step 3: Cross multiply
   1,665.12x = 2,296.80 × 1,002.18
4. Step 4: Simplify right side
   1,665.12x = 2,301,807.02
5. Step 5: Solve for x
   x = 2,301,807.02/1,665.12
6. Step 6: Final answer
   x = 1,382.37