Finding the Fourth Proportional to 10,506.81, 14,499.21 and 5,791.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.81 : 14,499.21 = 5,791.53 : x
2. Step 2: Convert to fraction form
   10,506.81/14,499.21 = 5,791.53/x
3. Step 3: Cross multiply
   10,506.81x = 14,499.21 × 5,791.53
4. Step 4: Simplify right side
   10,506.81x = 83,972,609.69
5. Step 5: Solve for x
   x = 83,972,609.69/10,506.81
6. Step 6: Final answer
   x = 7,992.21