Finding the Fourth Proportional to 10,506.80, 14,499.32 and 5,791.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.80 : 14,499.32 = 5,791.08 : x
2. Step 2: Convert to fraction form
   10,506.80/14,499.32 = 5,791.08/x
3. Step 3: Cross multiply
   10,506.80x = 14,499.32 × 5,791.08
4. Step 4: Simplify right side
   10,506.80x = 83,966,747.48
5. Step 5: Solve for x
   x = 83,966,747.48/10,506.80
6. Step 6: Final answer
   x = 7,991.66