Finding the Fourth Proportional to 9,776.49, 13,489.70 and 5,796.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776.49 : 13,489.70 = 5,796.15 : x
2. Step 2: Convert to fraction form
   9,776.49/13,489.70 = 5,796.15/x
3. Step 3: Cross multiply
   9,776.49x = 13,489.70 × 5,796.15
4. Step 4: Simplify right side
   9,776.49x = 78,188,324.66
5. Step 5: Solve for x
   x = 78,188,324.66/9,776.49
6. Step 6: Final answer
   x = 7,997.59