Finding the Fourth Proportional to 10,258.05, 14,156.12 and 5,542.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258.05 : 14,156.12 = 5,542.34 : x
2. Step 2: Convert to fraction form
   10,258.05/14,156.12 = 5,542.34/x
3. Step 3: Cross multiply
   10,258.05x = 14,156.12 × 5,542.34
4. Step 4: Simplify right side
   10,258.05x = 78,458,030.12
5. Step 5: Solve for x
   x = 78,458,030.12/10,258.05
6. Step 6: Final answer
   x = 7,648.44