Finding the Fourth Proportional to 5,336.56, 7,952.45 and 5,160.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,336.56 : 7,952.45 = 5,160.16 : x
2. Step 2: Convert to fraction form
   5,336.56/7,952.45 = 5,160.16/x
3. Step 3: Cross multiply
   5,336.56x = 7,952.45 × 5,160.16
4. Step 4: Simplify right side
   5,336.56x = 41,035,914.39
5. Step 5: Solve for x
   x = 41,035,914.39/5,336.56
6. Step 6: Final answer
   x = 7,689.58