Finding the Fourth Proportional to 10,546.80, 14,554.89 and 5,767.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,546.80 : 14,554.89 = 5,767.02 : x
2. Step 2: Convert to fraction form
   10,546.80/14,554.89 = 5,767.02/x
3. Step 3: Cross multiply
   10,546.80x = 14,554.89 × 5,767.02
4. Step 4: Simplify right side
   10,546.80x = 83,938,341.73
5. Step 5: Solve for x
   x = 83,938,341.73/10,546.80
6. Step 6: Final answer
   x = 7,958.65