Finding the Fourth Proportional to 9,784.32, 13,502.24 and 5,308

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.32 : 13,502.24 = 5,308 : x
2. Step 2: Convert to fraction form
   9,784.32/13,502.24 = 5,308/x
3. Step 3: Cross multiply
   9,784.32x = 13,502.24 × 5,308
4. Step 4: Simplify right side
   9,784.32x = 71,669,889.92
5. Step 5: Solve for x
   x = 71,669,889.92/9,784.32
6. Step 6: Final answer
   x = 7,324.97