Finding the Fourth Proportional to 9,744, 13,434.32 and 7,478

Step by Step Solution

1. Step 1: Write the proportion equation
   9,744 : 13,434.32 = 7,478 : x
2. Step 2: Convert to fraction form
   9,744/13,434.32 = 7,478/x
3. Step 3: Cross multiply
   9,744x = 13,434.32 × 7,478
4. Step 4: Simplify right side
   9,744x = 100,461,844.96
5. Step 5: Solve for x
   x = 100,461,844.96/9,744
6. Step 6: Final answer
   x = 10,310.12