Finding the Fourth Proportional to 9,758.72, 14,638.05 and 7,540.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.72 : 14,638.05 = 7,540.77 : x
2. Step 2: Convert to fraction form
   9,758.72/14,638.05 = 7,540.77/x
3. Step 3: Cross multiply
   9,758.72x = 14,638.05 × 7,540.77
4. Step 4: Simplify right side
   9,758.72x = 110,382,168.30
5. Step 5: Solve for x
   x = 110,382,168.30/9,758.72
6. Step 6: Final answer
   x = 11,311.13