Finding the Fourth Proportional to 10,424.16, 15,629.34 and 5,746.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424.16 : 15,629.34 = 5,746.44 : x
2. Step 2: Convert to fraction form
   10,424.16/15,629.34 = 5,746.44/x
3. Step 3: Cross multiply
   10,424.16x = 15,629.34 × 5,746.44
4. Step 4: Simplify right side
   10,424.16x = 89,813,064.55
5. Step 5: Solve for x
   x = 89,813,064.55/10,424.16
6. Step 6: Final answer
   x = 8,615.86