Finding the Fourth Proportional to 1,665.54, 2,298.36 and 1,002.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.54 : 2,298.36 = 1,002.06 : x
2. Step 2: Convert to fraction form
   1,665.54/2,298.36 = 1,002.06/x
3. Step 3: Cross multiply
   1,665.54x = 2,298.36 × 1,002.06
4. Step 4: Simplify right side
   1,665.54x = 2,303,094.62
5. Step 5: Solve for x
   x = 2,303,094.62/1,665.54
6. Step 6: Final answer
   x = 1,382.79