Finding the Fourth Proportional to 10,524.50, 14,523.71 and 5,744.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,524.50 : 14,523.71 = 5,744.40 : x
2. Step 2: Convert to fraction form
   10,524.50/14,523.71 = 5,744.40/x
3. Step 3: Cross multiply
   10,524.50x = 14,523.71 × 5,744.40
4. Step 4: Simplify right side
   10,524.50x = 83,429,999.72
5. Step 5: Solve for x
   x = 83,429,999.72/10,524.50
6. Step 6: Final answer
   x = 7,927.22