Finding the Fourth Proportional to 10,523.32, 14,522.25 and 5,743.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,523.32 : 14,522.25 = 5,743.60 : x
2. Step 2: Convert to fraction form
   10,523.32/14,522.25 = 5,743.60/x
3. Step 3: Cross multiply
   10,523.32x = 14,522.25 × 5,743.60
4. Step 4: Simplify right side
   10,523.32x = 83,409,995.10
5. Step 5: Solve for x
   x = 83,409,995.10/10,523.32
6. Step 6: Final answer
   x = 7,926.21