Finding the Fourth Proportional to 10,523.65, 14,522.80 and 5,743.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,523.65 : 14,522.80 = 5,743.84 : x
2. Step 2: Convert to fraction form
   10,523.65/14,522.80 = 5,743.84/x
3. Step 3: Cross multiply
   10,523.65x = 14,522.80 × 5,743.84
4. Step 4: Simplify right side
   10,523.65x = 83,416,610.83
5. Step 5: Solve for x
   x = 83,416,610.83/10,523.65
6. Step 6: Final answer
   x = 7,926.59