Finding the Fourth Proportional to 1,027.98, 1,418.31 and 585.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,027.98 : 1,418.31 = 585.72 : x
2. Step 2: Convert to fraction form
   1,027.98/1,418.31 = 585.72/x
3. Step 3: Cross multiply
   1,027.98x = 1,418.31 × 585.72
4. Step 4: Simplify right side
   1,027.98x = 830,732.53
5. Step 5: Solve for x
   x = 830,732.53/1,027.98
6. Step 6: Final answer
   x = 808.12