Finding the Fourth Proportional to 1,585.83, 2,377.39 and 1,122.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.83 : 2,377.39 = 1,122.15 : x
2. Step 2: Convert to fraction form
   1,585.83/2,377.39 = 1,122.15/x
3. Step 3: Cross multiply
   1,585.83x = 2,377.39 × 1,122.15
4. Step 4: Simplify right side
   1,585.83x = 2,667,770.69
5. Step 5: Solve for x
   x = 2,667,770.69/1,585.83
6. Step 6: Final answer
   x = 1,682.26