Finding the Fourth Proportional to 10,780.72, 14,872.47 and 7,791.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,780.72 : 14,872.47 = 7,791.82 : x
2. Step 2: Convert to fraction form
   10,780.72/14,872.47 = 7,791.82/x
3. Step 3: Cross multiply
   10,780.72x = 14,872.47 × 7,791.82
4. Step 4: Simplify right side
   10,780.72x = 115,883,534.83
5. Step 5: Solve for x
   x = 115,883,534.83/10,780.72
6. Step 6: Final answer
   x = 10,749.15