Finding the Fourth Proportional to 10,766.27, 14,849.19 and 7,791.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,766.27 : 14,849.19 = 7,791.95 : x
2. Step 2: Convert to fraction form
   10,766.27/14,849.19 = 7,791.95/x
3. Step 3: Cross multiply
   10,766.27x = 14,849.19 × 7,791.95
4. Step 4: Simplify right side
   10,766.27x = 115,704,071.77
5. Step 5: Solve for x
   x = 115,704,071.77/10,766.27
6. Step 6: Final answer
   x = 10,746.91