Finding the Fourth Proportional to 1,585.82, 2,377.28 and 900.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.82 : 2,377.28 = 900.38 : x
2. Step 2: Convert to fraction form
   1,585.82/2,377.28 = 900.38/x
3. Step 3: Cross multiply
   1,585.82x = 2,377.28 × 900.38
4. Step 4: Simplify right side
   1,585.82x = 2,140,445.73
5. Step 5: Solve for x
   x = 2,140,445.73/1,585.82
6. Step 6: Final answer
   x = 1,349.74