Finding the Fourth Proportional to 1,582.76, 2,184.30 and 919.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.76 : 2,184.30 = 919.82 : x
2. Step 2: Convert to fraction form
   1,582.76/2,184.30 = 919.82/x
3. Step 3: Cross multiply
   1,582.76x = 2,184.30 × 919.82
4. Step 4: Simplify right side
   1,582.76x = 2,009,162.83
5. Step 5: Solve for x
   x = 2,009,162.83/1,582.76
6. Step 6: Final answer
   x = 1,269.40