Finding the Fourth Proportional to 1,004.94, 1,386.82 and 585.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.94 : 1,386.82 = 585.58 : x
2. Step 2: Convert to fraction form
   1,004.94/1,386.82 = 585.58/x
3. Step 3: Cross multiply
   1,004.94x = 1,386.82 × 585.58
4. Step 4: Simplify right side
   1,004.94x = 812,084.78
5. Step 5: Solve for x
   x = 812,084.78/1,004.94
6. Step 6: Final answer
   x = 808.10