Finding the Fourth Proportional to 1,583.82, 2,185.16 and 920.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,583.82 : 2,185.16 = 920.88 : x
2. Step 2: Convert to fraction form
   1,583.82/2,185.16 = 920.88/x
3. Step 3: Cross multiply
   1,583.82x = 2,185.16 × 920.88
4. Step 4: Simplify right side
   1,583.82x = 2,012,265.54
5. Step 5: Solve for x
   x = 2,012,265.54/1,583.82
6. Step 6: Final answer
   x = 1,270.51