Finding the Fourth Proportional to 9,760.36, 13,469.55 and 5,780.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,760.36 : 13,469.55 = 5,780.02 : x
2. Step 2: Convert to fraction form
   9,760.36/13,469.55 = 5,780.02/x
3. Step 3: Cross multiply
   9,760.36x = 13,469.55 × 5,780.02
4. Step 4: Simplify right side
   9,760.36x = 77,854,268.39
5. Step 5: Solve for x
   x = 77,854,268.39/9,760.36
6. Step 6: Final answer
   x = 7,976.58