Finding the Fourth Proportional to 10,546.42, 14,553.81 and 5,766.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,546.42 : 14,553.81 = 5,766.16 : x
2. Step 2: Convert to fraction form
   10,546.42/14,553.81 = 5,766.16/x
3. Step 3: Cross multiply
   10,546.42x = 14,553.81 × 5,766.16
4. Step 4: Simplify right side
   10,546.42x = 83,919,597.07
5. Step 5: Solve for x
   x = 83,919,597.07/10,546.42
6. Step 6: Final answer
   x = 7,957.16