Finding the Fourth Proportional to 5,736.78, 7,918.02 and 3,640.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,736.78 : 7,918.02 = 3,640.50 : x
2. Step 2: Convert to fraction form
   5,736.78/7,918.02 = 3,640.50/x
3. Step 3: Cross multiply
   5,736.78x = 7,918.02 × 3,640.50
4. Step 4: Simplify right side
   5,736.78x = 28,825,551.81
5. Step 5: Solve for x
   x = 28,825,551.81/5,736.78
6. Step 6: Final answer
   x = 5,024.69