Finding the Fourth Proportional to 9,776.88, 13,491.90 and 5,300.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776.88 : 13,491.90 = 5,300.64 : x
2. Step 2: Convert to fraction form
   9,776.88/13,491.90 = 5,300.64/x
3. Step 3: Cross multiply
   9,776.88x = 13,491.90 × 5,300.64
4. Step 4: Simplify right side
   9,776.88x = 71,515,704.82
5. Step 5: Solve for x
   x = 71,515,704.82/9,776.88
6. Step 6: Final answer
   x = 7,314.78