Finding the Fourth Proportional to 1,665.96, 2,499.78 and 1,009.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.96 : 2,499.78 = 1,009.40 : x
2. Step 2: Convert to fraction form
   1,665.96/2,499.78 = 1,009.40/x
3. Step 3: Cross multiply
   1,665.96x = 2,499.78 × 1,009.40
4. Step 4: Simplify right side
   1,665.96x = 2,523,265.43
5. Step 5: Solve for x
   x = 2,523,265.43/1,665.96
6. Step 6: Final answer
   x = 1,514.60