Finding the Fourth Proportional to 1,665.16, 2,298.17 and 1,002.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.16 : 2,298.17 = 1,002.13 : x
2. Step 2: Convert to fraction form
   1,665.16/2,298.17 = 1,002.13/x
3. Step 3: Cross multiply
   1,665.16x = 2,298.17 × 1,002.13
4. Step 4: Simplify right side
   1,665.16x = 2,303,061.86
5. Step 5: Solve for x
   x = 2,303,061.86/1,665.16
6. Step 6: Final answer
   x = 1,383.09