Finding the Fourth Proportional to 9,790.50, 13,510.92 and 5,314.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,790.50 : 13,510.92 = 5,314.25 : x
2. Step 2: Convert to fraction form
   9,790.50/13,510.92 = 5,314.25/x
3. Step 3: Cross multiply
   9,790.50x = 13,510.92 × 5,314.25
4. Step 4: Simplify right side
   9,790.50x = 71,800,427.10
5. Step 5: Solve for x
   x = 71,800,427.10/9,790.50
6. Step 6: Final answer
   x = 7,333.69