Finding the Fourth Proportional to 10,522.65, 14,521.42 and 5,742.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,522.65 : 14,521.42 = 5,742.84 : x
2. Step 2: Convert to fraction form
   10,522.65/14,521.42 = 5,742.84/x
3. Step 3: Cross multiply
   10,522.65x = 14,521.42 × 5,742.84
4. Step 4: Simplify right side
   10,522.65x = 83,394,162.92
5. Step 5: Solve for x
   x = 83,394,162.92/10,522.65
6. Step 6: Final answer
   x = 7,925.21