Finding the Fourth Proportional to 10,578.23, 14,596.42 and 5,862.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578.23 : 14,596.42 = 5,862.50 : x
2. Step 2: Convert to fraction form
   10,578.23/14,596.42 = 5,862.50/x
3. Step 3: Cross multiply
   10,578.23x = 14,596.42 × 5,862.50
4. Step 4: Simplify right side
   10,578.23x = 85,571,512.25
5. Step 5: Solve for x
   x = 85,571,512.25/10,578.23
6. Step 6: Final answer
   x = 8,089.40