Finding the Fourth Proportional to 9,825.24, 14,734.50 and 5,321.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.24 : 14,734.50 = 5,321.34 : x
2. Step 2: Convert to fraction form
   9,825.24/14,734.50 = 5,321.34/x
3. Step 3: Cross multiply
   9,825.24x = 14,734.50 × 5,321.34
4. Step 4: Simplify right side
   9,825.24x = 78,407,284.23
5. Step 5: Solve for x
   x = 78,407,284.23/9,825.24
6. Step 6: Final answer
   x = 7,980.19