Finding the Fourth Proportional to 1,279.45, 1,917.96 and 585.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,279.45 : 1,917.96 = 585.82 : x
2. Step 2: Convert to fraction form
   1,279.45/1,917.96 = 585.82/x
3. Step 3: Cross multiply
   1,279.45x = 1,917.96 × 585.82
4. Step 4: Simplify right side
   1,279.45x = 1,123,579.33
5. Step 5: Solve for x
   x = 1,123,579.33/1,279.45
6. Step 6: Final answer
   x = 878.17