Finding the Fourth Proportional to 9,776.69, 13,491.84 and 5,300.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776.69 : 13,491.84 = 5,300.42 : x
2. Step 2: Convert to fraction form
   9,776.69/13,491.84 = 5,300.42/x
3. Step 3: Cross multiply
   9,776.69x = 13,491.84 × 5,300.42
4. Step 4: Simplify right side
   9,776.69x = 71,512,351.11
5. Step 5: Solve for x
   x = 71,512,351.11/9,776.69
6. Step 6: Final answer
   x = 7,314.58