Finding the Fourth Proportional to 3,688.59, 5,525.27 and 3,109.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,688.59 : 5,525.27 = 3,109.63 : x
2. Step 2: Convert to fraction form
   3,688.59/5,525.27 = 3,109.63/x
3. Step 3: Cross multiply
   3,688.59x = 5,525.27 × 3,109.63
4. Step 4: Simplify right side
   3,688.59x = 17,181,545.35
5. Step 5: Solve for x
   x = 17,181,545.35/3,688.59
6. Step 6: Final answer
   x = 4,658.03