Finding the Fourth Proportional to 2,560.69, 3,842.79 and 1,587.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,560.69 : 3,842.79 = 1,587.34 : x
2. Step 2: Convert to fraction form
   2,560.69/3,842.79 = 1,587.34/x
3. Step 3: Cross multiply
   2,560.69x = 3,842.79 × 1,587.34
4. Step 4: Simplify right side
   2,560.69x = 6,099,814.28
5. Step 5: Solve for x
   x = 6,099,814.28/2,560.69
6. Step 6: Final answer
   x = 2,382.10