Finding the Fourth Proportional to 2,464.53, 3,697.56 and 861.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.53 : 3,697.56 = 861.84 : x
2. Step 2: Convert to fraction form
   2,464.53/3,697.56 = 861.84/x
3. Step 3: Cross multiply
   2,464.53x = 3,697.56 × 861.84
4. Step 4: Simplify right side
   2,464.53x = 3,186,712.04
5. Step 5: Solve for x
   x = 3,186,712.04/2,464.53
6. Step 6: Final answer
   x = 1,293.03