Finding the Fourth Proportional to 10,506.65, 14,500.08 and 5,791.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.65 : 14,500.08 = 5,791.86 : x
2. Step 2: Convert to fraction form
   10,506.65/14,500.08 = 5,791.86/x
3. Step 3: Cross multiply
   10,506.65x = 14,500.08 × 5,791.86
4. Step 4: Simplify right side
   10,506.65x = 83,982,433.35
5. Step 5: Solve for x
   x = 83,982,433.35/10,506.65
6. Step 6: Final answer
   x = 7,993.27