Finding the Fourth Proportional to 10,258.50, 14,157.72 and 5,783.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258.50 : 14,157.72 = 5,783.34 : x
2. Step 2: Convert to fraction form
   10,258.50/14,157.72 = 5,783.34/x
3. Step 3: Cross multiply
   10,258.50x = 14,157.72 × 5,783.34
4. Step 4: Simplify right side
   10,258.50x = 81,878,908.38
5. Step 5: Solve for x
   x = 81,878,908.38/10,258.50
6. Step 6: Final answer
   x = 7,981.57