Finding the Fourth Proportional to 1,027.47, 1,417.89 and 585.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,027.47 : 1,417.89 = 585.39 : x
2. Step 2: Convert to fraction form
   1,027.47/1,417.89 = 585.39/x
3. Step 3: Cross multiply
   1,027.47x = 1,417.89 × 585.39
4. Step 4: Simplify right side
   1,027.47x = 830,018.63
5. Step 5: Solve for x
   x = 830,018.63/1,027.47
6. Step 6: Final answer
   x = 807.83