Finding the Fourth Proportional to 5,262.65, 7,293.81 and 5,164.23

Step by Step Solution

1. Step 1: Write the proportion equation
   5,262.65 : 7,293.81 = 5,164.23 : x
2. Step 2: Convert to fraction form
   5,262.65/7,293.81 = 5,164.23/x
3. Step 3: Cross multiply
   5,262.65x = 7,293.81 × 5,164.23
4. Step 4: Simplify right side
   5,262.65x = 37,666,912.42
5. Step 5: Solve for x
   x = 37,666,912.42/5,262.65
6. Step 6: Final answer
   x = 7,157.41