Finding the Fourth Proportional to 10,523.14, 14,522.02 and 5,743.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,523.14 : 14,522.02 = 5,743.12 : x
2. Step 2: Convert to fraction form
   10,523.14/14,522.02 = 5,743.12/x
3. Step 3: Cross multiply
   10,523.14x = 14,522.02 × 5,743.12
4. Step 4: Simplify right side
   10,523.14x = 83,401,652.84
5. Step 5: Solve for x
   x = 83,401,652.84/10,523.14
6. Step 6: Final answer
   x = 7,925.55