Finding the Fourth Proportional to 1,665.88, 2,297.80 and 1,002.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.88 : 2,297.80 = 1,002.03 : x
2. Step 2: Convert to fraction form
   1,665.88/2,297.80 = 1,002.03/x
3. Step 3: Cross multiply
   1,665.88x = 2,297.80 × 1,002.03
4. Step 4: Simplify right side
   1,665.88x = 2,302,474.40
5. Step 5: Solve for x
   x = 2,302,474.40/1,665.88
6. Step 6: Final answer
   x = 1,382.14