Finding the Fourth Proportional to 1,582.86, 2,184.81 and 920.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.86 : 2,184.81 = 920.01 : x
2. Step 2: Convert to fraction form
   1,582.86/2,184.81 = 920.01/x
3. Step 3: Cross multiply
   1,582.86x = 2,184.81 × 920.01
4. Step 4: Simplify right side
   1,582.86x = 2,010,031.52
5. Step 5: Solve for x
   x = 2,010,031.52/1,582.86
6. Step 6: Final answer
   x = 1,269.88