Finding the Fourth Proportional to 9,776.53, 13,491.42 and 5,300.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776.53 : 13,491.42 = 5,300.20 : x
2. Step 2: Convert to fraction form
   9,776.53/13,491.42 = 5,300.20/x
3. Step 3: Cross multiply
   9,776.53x = 13,491.42 × 5,300.20
4. Step 4: Simplify right side
   9,776.53x = 71,507,221.27
5. Step 5: Solve for x
   x = 71,507,221.27/9,776.53
6. Step 6: Final answer
   x = 7,314.17