Finding the Fourth Proportional to 10,546.40, 14,553.57 and 5,766.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,546.40 : 14,553.57 = 5,766.22 : x
2. Step 2: Convert to fraction form
   10,546.40/14,553.57 = 5,766.22/x
3. Step 3: Cross multiply
   10,546.40x = 14,553.57 × 5,766.22
4. Step 4: Simplify right side
   10,546.40x = 83,919,126.22
5. Step 5: Solve for x
   x = 83,919,126.22/10,546.40
6. Step 6: Final answer
   x = 7,957.13