Finding the Fourth Proportional to 3,688.16, 5,089.52 and 2,009.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,688.16 : 5,089.52 = 2,009.52 : x
2. Step 2: Convert to fraction form
   3,688.16/5,089.52 = 2,009.52/x
3. Step 3: Cross multiply
   3,688.16x = 5,089.52 × 2,009.52
4. Step 4: Simplify right side
   3,688.16x = 10,227,492.23
5. Step 5: Solve for x
   x = 10,227,492.23/3,688.16
6. Step 6: Final answer
   x = 2,773.06