Finding the Fourth Proportional to 10,523.88, 14,523.03 and 5,743.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,523.88 : 14,523.03 = 5,743.78 : x
2. Step 2: Convert to fraction form
   10,523.88/14,523.03 = 5,743.78/x
3. Step 3: Cross multiply
   10,523.88x = 14,523.03 × 5,743.78
4. Step 4: Simplify right side
   10,523.88x = 83,417,089.25
5. Step 5: Solve for x
   x = 83,417,089.25/10,523.88
6. Step 6: Final answer
   x = 7,926.46