Finding the Fourth Proportional to 2,561.46, 3,839.46 and 1,463.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.46 : 3,839.46 = 1,463.52 : x
2. Step 2: Convert to fraction form
   2,561.46/3,839.46 = 1,463.52/x
3. Step 3: Cross multiply
   2,561.46x = 3,839.46 × 1,463.52
4. Step 4: Simplify right side
   2,561.46x = 5,619,126.50
5. Step 5: Solve for x
   x = 5,619,126.50/2,561.46
6. Step 6: Final answer
   x = 2,193.72