Finding the Fourth Proportional to 1,587.50, 2,379.72 and 807.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,587.50 : 2,379.72 = 807.14 : x
2. Step 2: Convert to fraction form
   1,587.50/2,379.72 = 807.14/x
3. Step 3: Cross multiply
   1,587.50x = 2,379.72 × 807.14
4. Step 4: Simplify right side
   1,587.50x = 1,920,767.20
5. Step 5: Solve for x
   x = 1,920,767.20/1,587.50
6. Step 6: Final answer
   x = 1,209.93