Finding the Fourth Proportional to 10,258.89, 14,158.04 and 5,783.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258.89 : 14,158.04 = 5,783.06 : x
2. Step 2: Convert to fraction form
   10,258.89/14,158.04 = 5,783.06/x
3. Step 3: Cross multiply
   10,258.89x = 14,158.04 × 5,783.06
4. Step 4: Simplify right side
   10,258.89x = 81,876,794.80
5. Step 5: Solve for x
   x = 81,876,794.80/10,258.89
6. Step 6: Final answer
   x = 7,981.06