Finding the Fourth Proportional to 1,582.76, 2,184.22 and 919.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.76 : 2,184.22 = 919.38 : x
2. Step 2: Convert to fraction form
   1,582.76/2,184.22 = 919.38/x
3. Step 3: Cross multiply
   1,582.76x = 2,184.22 × 919.38
4. Step 4: Simplify right side
   1,582.76x = 2,008,128.18
5. Step 5: Solve for x
   x = 2,008,128.18/1,582.76
6. Step 6: Final answer
   x = 1,268.75