Finding the Fourth Proportional to 10,516.18, 15,749.79 and 5,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,516.18 : 15,749.79 = 5,309.50 : x
2. Step 2: Convert to fraction form
   10,516.18/15,749.79 = 5,309.50/x
3. Step 3: Cross multiply
   10,516.18x = 15,749.79 × 5,309.50
4. Step 4: Simplify right side
   10,516.18x = 83,623,510.01
5. Step 5: Solve for x
   x = 83,623,510.01/10,516.18
6. Step 6: Final answer
   x = 7,951.89