Finding the Fourth Proportional to 2,561.84, 3,839.21 and 1,463.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.84 : 3,839.21 = 1,463.88 : x
2. Step 2: Convert to fraction form
   2,561.84/3,839.21 = 1,463.88/x
3. Step 3: Cross multiply
   2,561.84x = 3,839.21 × 1,463.88
4. Step 4: Simplify right side
   2,561.84x = 5,620,155.30
5. Step 5: Solve for x
   x = 5,620,155.30/2,561.84
6. Step 6: Final answer
   x = 2,193.80