Finding the Fourth Proportional to 10,738.88, 14,820.32 and 7,147.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,738.88 : 14,820.32 = 7,147.64 : x
2. Step 2: Convert to fraction form
   10,738.88/14,820.32 = 7,147.64/x
3. Step 3: Cross multiply
   10,738.88x = 14,820.32 × 7,147.64
4. Step 4: Simplify right side
   10,738.88x = 105,930,326.76
5. Step 5: Solve for x
   x = 105,930,326.76/10,738.88
6. Step 6: Final answer
   x = 9,864.19