Finding the Fourth Proportional to 10,561.78, 14,584.94 and 6,791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,561.78 : 14,584.94 = 6,791.50 : x
2. Step 2: Convert to fraction form
   10,561.78/14,584.94 = 6,791.50/x
3. Step 3: Cross multiply
   10,561.78x = 14,584.94 × 6,791.50
4. Step 4: Simplify right side
   10,561.78x = 99,053,620.01
5. Step 5: Solve for x
   x = 99,053,620.01/10,561.78
6. Step 6: Final answer
   x = 9,378.50