Finding the Fourth Proportional to 9,777.74, 13,488.51 and 5,796.03

Step by Step Solution

1. Step 1: Write the proportion equation
   9,777.74 : 13,488.51 = 5,796.03 : x
2. Step 2: Convert to fraction form
   9,777.74/13,488.51 = 5,796.03/x
3. Step 3: Cross multiply
   9,777.74x = 13,488.51 × 5,796.03
4. Step 4: Simplify right side
   9,777.74x = 78,179,808.62
5. Step 5: Solve for x
   x = 78,179,808.62/9,777.74
6. Step 6: Final answer
   x = 7,995.70