Finding the Fourth Proportional to 3,688.53, 5,090.29 and 2,009.99

Step by Step Solution

1. Step 1: Write the proportion equation
   3,688.53 : 5,090.29 = 2,009.99 : x
2. Step 2: Convert to fraction form
   3,688.53/5,090.29 = 2,009.99/x
3. Step 3: Cross multiply
   3,688.53x = 5,090.29 × 2,009.99
4. Step 4: Simplify right side
   3,688.53x = 10,231,396.50
5. Step 5: Solve for x
   x = 10,231,396.50/3,688.53
6. Step 6: Final answer
   x = 2,773.84