Finding the Fourth Proportional to 1,582.82, 2,184.75 and 919.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.82 : 2,184.75 = 919.93 : x
2. Step 2: Convert to fraction form
   1,582.82/2,184.75 = 919.93/x
3. Step 3: Cross multiply
   1,582.82x = 2,184.75 × 919.93
4. Step 4: Simplify right side
   1,582.82x = 2,009,823.89
5. Step 5: Solve for x
   x = 2,009,823.89/1,582.82
6. Step 6: Final answer
   x = 1,269.78