Finding the Fourth Proportional to 5,162.16, 7,738.38 and 2,562.60

Step by Step Solution

1. Step 1: Write the proportion equation
   5,162.16 : 7,738.38 = 2,562.60 : x
2. Step 2: Convert to fraction form
   5,162.16/7,738.38 = 2,562.60/x
3. Step 3: Cross multiply
   5,162.16x = 7,738.38 × 2,562.60
4. Step 4: Simplify right side
   5,162.16x = 19,830,372.59
5. Step 5: Solve for x
   x = 19,830,372.59/5,162.16
6. Step 6: Final answer
   x = 3,841.49