Finding the Fourth Proportional to 5,162.59, 7,727.46 and 3,694.57

Step by Step Solution

1. Step 1: Write the proportion equation
   5,162.59 : 7,727.46 = 3,694.57 : x
2. Step 2: Convert to fraction form
   5,162.59/7,727.46 = 3,694.57/x
3. Step 3: Cross multiply
   5,162.59x = 7,727.46 × 3,694.57
4. Step 4: Simplify right side
   5,162.59x = 28,549,641.89
5. Step 5: Solve for x
   x = 28,549,641.89/5,162.59
6. Step 6: Final answer
   x = 5,530.10