Finding the Fourth Proportional to 2,458.59, 3,685.51 and 1,578.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,458.59 : 3,685.51 = 1,578.63 : x
2. Step 2: Convert to fraction form
   2,458.59/3,685.51 = 1,578.63/x
3. Step 3: Cross multiply
   2,458.59x = 3,685.51 × 1,578.63
4. Step 4: Simplify right side
   2,458.59x = 5,818,056.65
5. Step 5: Solve for x
   x = 5,818,056.65/2,458.59
6. Step 6: Final answer
   x = 2,366.42