Finding the Fourth Proportional to 3,688.50, 5,090.91 and 2,431.59

Step by Step Solution

1. Step 1: Write the proportion equation
   3,688.50 : 5,090.91 = 2,431.59 : x
2. Step 2: Convert to fraction form
   3,688.50/5,090.91 = 2,431.59/x
3. Step 3: Cross multiply
   3,688.50x = 5,090.91 × 2,431.59
4. Step 4: Simplify right side
   3,688.50x = 12,379,005.85
5. Step 5: Solve for x
   x = 12,379,005.85/3,688.50
6. Step 6: Final answer
   x = 3,356.11