Finding the Fourth Proportional to 5,262.57, 7,293.72 and 5,164.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,262.57 : 7,293.72 = 5,164.16 : x
2. Step 2: Convert to fraction form
   5,262.57/7,293.72 = 5,164.16/x
3. Step 3: Cross multiply
   5,262.57x = 7,293.72 × 5,164.16
4. Step 4: Simplify right side
   5,262.57x = 37,665,937.08
5. Step 5: Solve for x
   x = 37,665,937.08/5,262.57
6. Step 6: Final answer
   x = 7,157.33