Finding the Fourth Proportional to 2,578.07, 3,557.72 and 1,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.07 : 3,557.72 = 1,516.50 : x
2. Step 2: Convert to fraction form
   2,578.07/3,557.72 = 1,516.50/x
3. Step 3: Cross multiply
   2,578.07x = 3,557.72 × 1,516.50
4. Step 4: Simplify right side
   2,578.07x = 5,395,274.80
5. Step 5: Solve for x
   x = 5,395,274.80/2,578.07
6. Step 6: Final answer
   x = 2,092.76