Finding the Fourth Proportional to 10,258.72, 15,380.32 and 5,643.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258.72 : 15,380.32 = 5,643.04 : x
2. Step 2: Convert to fraction form
   10,258.72/15,380.32 = 5,643.04/x
3. Step 3: Cross multiply
   10,258.72x = 15,380.32 × 5,643.04
4. Step 4: Simplify right side
   10,258.72x = 86,791,760.97
5. Step 5: Solve for x
   x = 86,791,760.97/10,258.72
6. Step 6: Final answer
   x = 8,460.29