Finding the Fourth Proportional to 1,665.84, 2,298.06 and 1,002.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.84 : 2,298.06 = 1,002.96 : x
2. Step 2: Convert to fraction form
   1,665.84/2,298.06 = 1,002.96/x
3. Step 3: Cross multiply
   1,665.84x = 2,298.06 × 1,002.96
4. Step 4: Simplify right side
   1,665.84x = 2,304,862.26
5. Step 5: Solve for x
   x = 2,304,862.26/1,665.84
6. Step 6: Final answer
   x = 1,383.60