Finding the Fourth Proportional to 10,506.86, 14,499.38 and 5,791.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.86 : 14,499.38 = 5,791.10 : x
2. Step 2: Convert to fraction form
   10,506.86/14,499.38 = 5,791.10/x
3. Step 3: Cross multiply
   10,506.86x = 14,499.38 × 5,791.10
4. Step 4: Simplify right side
   10,506.86x = 83,967,359.52
5. Step 5: Solve for x
   x = 83,967,359.52/10,506.86
6. Step 6: Final answer
   x = 7,991.67