Finding the Fourth Proportional to 1,155.33, 1,730.67 and 538.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.33 : 1,730.67 = 538.21 : x
2. Step 2: Convert to fraction form
   1,155.33/1,730.67 = 538.21/x
3. Step 3: Cross multiply
   1,155.33x = 1,730.67 × 538.21
4. Step 4: Simplify right side
   1,155.33x = 931,453.90
5. Step 5: Solve for x
   x = 931,453.90/1,155.33
6. Step 6: Final answer
   x = 806.23