Finding the Fourth Proportional to 10,493.29, 15,749.65 and 5,302.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.29 : 15,749.65 = 5,302.81 : x
2. Step 2: Convert to fraction form
   10,493.29/15,749.65 = 5,302.81/x
3. Step 3: Cross multiply
   10,493.29x = 15,749.65 × 5,302.81
4. Step 4: Simplify right side
   10,493.29x = 83,517,401.52
5. Step 5: Solve for x
   x = 83,517,401.52/10,493.29
6. Step 6: Final answer
   x = 7,959.12