Finding the Fourth Proportional to 1,587.38, 2,379.34 and 765.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,587.38 : 2,379.34 = 765.08 : x
2. Step 2: Convert to fraction form
   1,587.38/2,379.34 = 765.08/x
3. Step 3: Cross multiply
   1,587.38x = 2,379.34 × 765.08
4. Step 4: Simplify right side
   1,587.38x = 1,820,385.45
5. Step 5: Solve for x
   x = 1,820,385.45/1,587.38
6. Step 6: Final answer
   x = 1,146.79