Finding the Fourth Proportional to 9,767.09, 13,477.77 and 5,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,767.09 : 13,477.77 = 5,733.50 : x
2. Step 2: Convert to fraction form
   9,767.09/13,477.77 = 5,733.50/x
3. Step 3: Cross multiply
   9,767.09x = 13,477.77 × 5,733.50
4. Step 4: Simplify right side
   9,767.09x = 77,274,726.91
5. Step 5: Solve for x
   x = 77,274,726.91/9,767.09
6. Step 6: Final answer
   x = 7,911.74