Finding the Fourth Proportional to 1,582.50, 2,184.28 and 919.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.50 : 2,184.28 = 919.56 : x
2. Step 2: Convert to fraction form
   1,582.50/2,184.28 = 919.56/x
3. Step 3: Cross multiply
   1,582.50x = 2,184.28 × 919.56
4. Step 4: Simplify right side
   1,582.50x = 2,008,576.52
5. Step 5: Solve for x
   x = 2,008,576.52/1,582.50
6. Step 6: Final answer
   x = 1,269.24