Finding the Fourth Proportional to 10,738.05, 14,811.68 and 7,758.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,738.05 : 14,811.68 = 7,758.26 : x
2. Step 2: Convert to fraction form
   10,738.05/14,811.68 = 7,758.26/x
3. Step 3: Cross multiply
   10,738.05x = 14,811.68 × 7,758.26
4. Step 4: Simplify right side
   10,738.05x = 114,912,751.63
5. Step 5: Solve for x
   x = 114,912,751.63/10,738.05
6. Step 6: Final answer
   x = 10,701.45