Finding the Fourth Proportional to 9,779.09, 13,494.78 and 5,797.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,779.09 : 13,494.78 = 5,797.82 : x
2. Step 2: Convert to fraction form
   9,779.09/13,494.78 = 5,797.82/x
3. Step 3: Cross multiply
   9,779.09x = 13,494.78 × 5,797.82
4. Step 4: Simplify right side
   9,779.09x = 78,240,305.38
5. Step 5: Solve for x
   x = 78,240,305.38/9,779.09
6. Step 6: Final answer
   x = 8,000.78