Finding the Fourth Proportional to 9,488.64, 14,231.34 and 3,642.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,488.64 : 14,231.34 = 3,642.24 : x
2. Step 2: Convert to fraction form
   9,488.64/14,231.34 = 3,642.24/x
3. Step 3: Cross multiply
   9,488.64x = 14,231.34 × 3,642.24
4. Step 4: Simplify right side
   9,488.64x = 51,833,955.80
5. Step 5: Solve for x
   x = 51,833,955.80/9,488.64
6. Step 6: Final answer
   x = 5,462.74