Finding the Fourth Proportional to 9,767.34, 13,478.13 and 5,518.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,767.34 : 13,478.13 = 5,518.77 : x
2. Step 2: Convert to fraction form
   9,767.34/13,478.13 = 5,518.77/x
3. Step 3: Cross multiply
   9,767.34x = 13,478.13 × 5,518.77
4. Step 4: Simplify right side
   9,767.34x = 74,382,604.52
5. Step 5: Solve for x
   x = 74,382,604.52/9,767.34
6. Step 6: Final answer
   x = 7,615.45