Finding the Fourth Proportional to 9,790.31, 13,510.73 and 5,314.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,790.31 : 13,510.73 = 5,314.10 : x
2. Step 2: Convert to fraction form
   9,790.31/13,510.73 = 5,314.10/x
3. Step 3: Cross multiply
   9,790.31x = 13,510.73 × 5,314.10
4. Step 4: Simplify right side
   9,790.31x = 71,797,343.72
5. Step 5: Solve for x
   x = 71,797,343.72/9,790.31
6. Step 6: Final answer
   x = 7,333.51