Finding the Fourth Proportional to 3,100.74, 4,269.87 and 2,565.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,100.74 : 4,269.87 = 2,565.69 : x
2. Step 2: Convert to fraction form
   3,100.74/4,269.87 = 2,565.69/x
3. Step 3: Cross multiply
   3,100.74x = 4,269.87 × 2,565.69
4. Step 4: Simplify right side
   3,100.74x = 10,955,162.76
5. Step 5: Solve for x
   x = 10,955,162.76/3,100.74
6. Step 6: Final answer
   x = 3,533.08