Finding the Fourth Proportional to 1,099.71, 1,640.52 and 1,021.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.71 : 1,640.52 = 1,021.14 : x
2. Step 2: Convert to fraction form
   1,099.71/1,640.52 = 1,021.14/x
3. Step 3: Cross multiply
   1,099.71x = 1,640.52 × 1,021.14
4. Step 4: Simplify right side
   1,099.71x = 1,675,200.59
5. Step 5: Solve for x
   x = 1,675,200.59/1,099.71
6. Step 6: Final answer
   x = 1,523.31