Finding the Fourth Proportional to 5,088.61, 7,632.56 and 1,578.53

Step by Step Solution

1. Step 1: Write the proportion equation
   5,088.61 : 7,632.56 = 1,578.53 : x
2. Step 2: Convert to fraction form
   5,088.61/7,632.56 = 1,578.53/x
3. Step 3: Cross multiply
   5,088.61x = 7,632.56 × 1,578.53
4. Step 4: Simplify right side
   5,088.61x = 12,048,215.30
5. Step 5: Solve for x
   x = 12,048,215.30/5,088.61
6. Step 6: Final answer
   x = 2,367.68