Finding the Fourth Proportional to 10,258.02, 14,156.06 and 5,542.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258.02 : 14,156.06 = 5,542.30 : x
2. Step 2: Convert to fraction form
   10,258.02/14,156.06 = 5,542.30/x
3. Step 3: Cross multiply
   10,258.02x = 14,156.06 × 5,542.30
4. Step 4: Simplify right side
   10,258.02x = 78,457,131.34
5. Step 5: Solve for x
   x = 78,457,131.34/10,258.02
6. Step 6: Final answer
   x = 7,648.37