Finding the Fourth Proportional to 1,583.83, 2,185.88 and 920.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,583.83 : 2,185.88 = 920.69 : x
2. Step 2: Convert to fraction form
   1,583.83/2,185.88 = 920.69/x
3. Step 3: Cross multiply
   1,583.83x = 2,185.88 × 920.69
4. Step 4: Simplify right side
   1,583.83x = 2,012,507.37
5. Step 5: Solve for x
   x = 2,012,507.37/1,583.83
6. Step 6: Final answer
   x = 1,270.66