Finding the Fourth Proportional to 10,935.50, 15,074.85 and 7,738.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,935.50 : 15,074.85 = 7,738.86 : x
2. Step 2: Convert to fraction form
   10,935.50/15,074.85 = 7,738.86/x
3. Step 3: Cross multiply
   10,935.50x = 15,074.85 × 7,738.86
4. Step 4: Simplify right side
   10,935.50x = 116,662,153.67
5. Step 5: Solve for x
   x = 116,662,153.67/10,935.50
6. Step 6: Final answer
   x = 10,668.21