Finding the Fourth Proportional to 2,562.81, 3,839.37 and 1,463.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.81 : 3,839.37 = 1,463.86 : x
2. Step 2: Convert to fraction form
   2,562.81/3,839.37 = 1,463.86/x
3. Step 3: Cross multiply
   2,562.81x = 3,839.37 × 1,463.86
4. Step 4: Simplify right side
   2,562.81x = 5,620,300.17
5. Step 5: Solve for x
   x = 5,620,300.17/2,562.81
6. Step 6: Final answer
   x = 2,193.02