Finding the Fourth Proportional to 2,496.75, 3,742.86 and 1,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,496.75 : 3,742.86 = 1,569.50 : x
2. Step 2: Convert to fraction form
   2,496.75/3,742.86 = 1,569.50/x
3. Step 3: Cross multiply
   2,496.75x = 3,742.86 × 1,569.50
4. Step 4: Simplify right side
   2,496.75x = 5,874,418.77
5. Step 5: Solve for x
   x = 5,874,418.77/2,496.75
6. Step 6: Final answer
   x = 2,352.83