Finding the Fourth Proportional to 1,583.72, 2,185.46 and 920.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,583.72 : 2,185.46 = 920.60 : x
2. Step 2: Convert to fraction form
   1,583.72/2,185.46 = 920.60/x
3. Step 3: Cross multiply
   1,583.72x = 2,185.46 × 920.60
4. Step 4: Simplify right side
   1,583.72x = 2,011,934.48
5. Step 5: Solve for x
   x = 2,011,934.48/1,583.72
6. Step 6: Final answer
   x = 1,270.39