Finding the Fourth Proportional to 1,027.41, 1,417.82 and 585.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,027.41 : 1,417.82 = 585.56 : x
2. Step 2: Convert to fraction form
   1,027.41/1,417.82 = 585.56/x
3. Step 3: Cross multiply
   1,027.41x = 1,417.82 × 585.56
4. Step 4: Simplify right side
   1,027.41x = 830,223.69
5. Step 5: Solve for x
   x = 830,223.69/1,027.41
6. Step 6: Final answer
   x = 808.07