Finding the Fourth Proportional to 2,304.24, 3,178.46 and 1,407.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,304.24 : 3,178.46 = 1,407.57 : x
2. Step 2: Convert to fraction form
   2,304.24/3,178.46 = 1,407.57/x
3. Step 3: Cross multiply
   2,304.24x = 3,178.46 × 1,407.57
4. Step 4: Simplify right side
   2,304.24x = 4,473,904.94
5. Step 5: Solve for x
   x = 4,473,904.94/2,304.24
6. Step 6: Final answer
   x = 1,941.60