Finding the Fourth Proportional to 1,509.62, 2,081.49 and 1,287.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,509.62 : 2,081.49 = 1,287.86 : x
2. Step 2: Convert to fraction form
   1,509.62/2,081.49 = 1,287.86/x
3. Step 3: Cross multiply
   1,509.62x = 2,081.49 × 1,287.86
4. Step 4: Simplify right side
   1,509.62x = 2,680,667.71
5. Step 5: Solve for x
   x = 2,680,667.71/1,509.62
6. Step 6: Final answer
   x = 1,775.72