Finding the Fourth Proportional to 2,301.24, 3,175.92 and 1,461.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,301.24 : 3,175.92 = 1,461.86 : x
2. Step 2: Convert to fraction form
   2,301.24/3,175.92 = 1,461.86/x
3. Step 3: Cross multiply
   2,301.24x = 3,175.92 × 1,461.86
4. Step 4: Simplify right side
   2,301.24x = 4,642,734.53
5. Step 5: Solve for x
   x = 4,642,734.53/2,301.24
6. Step 6: Final answer
   x = 2,017.49