Finding the Fourth Proportional to 10,575.23, 15,870.02 and 5,648.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,575.23 : 15,870.02 = 5,648.41 : x
2. Step 2: Convert to fraction form
   10,575.23/15,870.02 = 5,648.41/x
3. Step 3: Cross multiply
   10,575.23x = 15,870.02 × 5,648.41
4. Step 4: Simplify right side
   10,575.23x = 89,640,379.67
5. Step 5: Solve for x
   x = 89,640,379.67/10,575.23
6. Step 6: Final answer
   x = 8,476.45