Finding the Fourth Proportional to 10,546.69, 14,554.42 and 5,766.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,546.69 : 14,554.42 = 5,766.65 : x
2. Step 2: Convert to fraction form
   10,546.69/14,554.42 = 5,766.65/x
3. Step 3: Cross multiply
   10,546.69x = 14,554.42 × 5,766.65
4. Step 4: Simplify right side
   10,546.69x = 83,930,246.09
5. Step 5: Solve for x
   x = 83,930,246.09/10,546.69
6. Step 6: Final answer
   x = 7,957.97