Finding the Fourth Proportional to 9,776.57, 13,491.74 and 5,300.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776.57 : 13,491.74 = 5,300.35 : x
2. Step 2: Convert to fraction form
   9,776.57/13,491.74 = 5,300.35/x
3. Step 3: Cross multiply
   9,776.57x = 13,491.74 × 5,300.35
4. Step 4: Simplify right side
   9,776.57x = 71,510,923.63
5. Step 5: Solve for x
   x = 71,510,923.63/9,776.57
6. Step 6: Final answer
   x = 7,314.52