Finding the Fourth Proportional to 10,258.34, 14,156.34 and 5,782.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258.34 : 14,156.34 = 5,782.54 : x
2. Step 2: Convert to fraction form
   10,258.34/14,156.34 = 5,782.54/x
3. Step 3: Cross multiply
   10,258.34x = 14,156.34 × 5,782.54
4. Step 4: Simplify right side
   10,258.34x = 81,859,602.30
5. Step 5: Solve for x
   x = 81,859,602.30/10,258.34
6. Step 6: Final answer
   x = 7,979.81