Finding the Fourth Proportional to 1,583.55, 2,185.25 and 920.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,583.55 : 2,185.25 = 920.30 : x
2. Step 2: Convert to fraction form
   1,583.55/2,185.25 = 920.30/x
3. Step 3: Cross multiply
   1,583.55x = 2,185.25 × 920.30
4. Step 4: Simplify right side
   1,583.55x = 2,011,070.05
5. Step 5: Solve for x
   x = 2,011,070.05/1,583.55
6. Step 6: Final answer
   x = 1,269.98