Finding the Fourth Proportional to 10,493.16, 15,749.46 and 5,302.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.16 : 15,749.46 = 5,302.68 : x
2. Step 2: Convert to fraction form
   10,493.16/15,749.46 = 5,302.68/x
3. Step 3: Cross multiply
   10,493.16x = 15,749.46 × 5,302.68
4. Step 4: Simplify right side
   10,493.16x = 83,514,346.55
5. Step 5: Solve for x
   x = 83,514,346.55/10,493.16
6. Step 6: Final answer
   x = 7,958.93