Finding the Fourth Proportional to 3,665.84, 5,057.53 and 2,407.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,665.84 : 5,057.53 = 2,407.57 : x
2. Step 2: Convert to fraction form
   3,665.84/5,057.53 = 2,407.57/x
3. Step 3: Cross multiply
   3,665.84x = 5,057.53 × 2,407.57
4. Step 4: Simplify right side
   3,665.84x = 12,176,367.29
5. Step 5: Solve for x
   x = 12,176,367.29/3,665.84
6. Step 6: Final answer
   x = 3,321.58