Finding the Fourth Proportional to 9,775.05, 13,489.61 and 5,796.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,775.05 : 13,489.61 = 5,796.92 : x
2. Step 2: Convert to fraction form
   9,775.05/13,489.61 = 5,796.92/x
3. Step 3: Cross multiply
   9,775.05x = 13,489.61 × 5,796.92
4. Step 4: Simplify right side
   9,775.05x = 78,198,167.77
5. Step 5: Solve for x
   x = 78,198,167.77/9,775.05
6. Step 6: Final answer
   x = 7,999.77