Finding the Fourth Proportional to 9,790.37, 13,510.82 and 5,314.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,790.37 : 13,510.82 = 5,314.16 : x
2. Step 2: Convert to fraction form
   9,790.37/13,510.82 = 5,314.16/x
3. Step 3: Cross multiply
   9,790.37x = 13,510.82 × 5,314.16
4. Step 4: Simplify right side
   9,790.37x = 71,798,666.42
5. Step 5: Solve for x
   x = 71,798,666.42/9,790.37
6. Step 6: Final answer
   x = 7,333.60