Finding the Fourth Proportional to 2,565.87, 3,843.93 and 1,523.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.87 : 3,843.93 = 1,523.67 : x
2. Step 2: Convert to fraction form
   2,565.87/3,843.93 = 1,523.67/x
3. Step 3: Cross multiply
   2,565.87x = 3,843.93 × 1,523.67
4. Step 4: Simplify right side
   2,565.87x = 5,856,880.82
5. Step 5: Solve for x
   x = 5,856,880.82/2,565.87
6. Step 6: Final answer
   x = 2,282.61