Finding the Fourth Proportional to 10,566.23, 15,849.50 and 5,020.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566.23 : 15,849.50 = 5,020.14 : x
2. Step 2: Convert to fraction form
   10,566.23/15,849.50 = 5,020.14/x
3. Step 3: Cross multiply
   10,566.23x = 15,849.50 × 5,020.14
4. Step 4: Simplify right side
   10,566.23x = 79,566,683.83
5. Step 5: Solve for x
   x = 79,566,683.83/10,566.23
6. Step 6: Final answer
   x = 7,530.28