Finding the Fourth Proportional to 1,665.30, 2,298.12 and 1,002.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.30 : 2,298.12 = 1,002.15 : x
2. Step 2: Convert to fraction form
   1,665.30/2,298.12 = 1,002.15/x
3. Step 3: Cross multiply
   1,665.30x = 2,298.12 × 1,002.15
4. Step 4: Simplify right side
   1,665.30x = 2,303,060.96
5. Step 5: Solve for x
   x = 2,303,060.96/1,665.30
6. Step 6: Final answer
   x = 1,382.97