Finding the Fourth Proportional to 10,148.16, 14,002.56 and 5,954.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,148.16 : 14,002.56 = 5,954.88 : x
2. Step 2: Convert to fraction form
   10,148.16/14,002.56 = 5,954.88/x
3. Step 3: Cross multiply
   10,148.16x = 14,002.56 × 5,954.88
4. Step 4: Simplify right side
   10,148.16x = 83,383,564.49
5. Step 5: Solve for x
   x = 83,383,564.49/10,148.16
6. Step 6: Final answer
   x = 8,216.62