Finding the Fourth Proportional to 9,776.63, 13,491.70 and 5,300.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776.63 : 13,491.70 = 5,300.34 : x
2. Step 2: Convert to fraction form
   9,776.63/13,491.70 = 5,300.34/x
3. Step 3: Cross multiply
   9,776.63x = 13,491.70 × 5,300.34
4. Step 4: Simplify right side
   9,776.63x = 71,510,597.18
5. Step 5: Solve for x
   x = 71,510,597.18/9,776.63
6. Step 6: Final answer
   x = 7,314.44