Finding the Fourth Proportional to 1,005.94, 1,387.82 and 591.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.94 : 1,387.82 = 591.94 : x
2. Step 2: Convert to fraction form
   1,005.94/1,387.82 = 591.94/x
3. Step 3: Cross multiply
   1,005.94x = 1,387.82 × 591.94
4. Step 4: Simplify right side
   1,005.94x = 821,506.17
5. Step 5: Solve for x
   x = 821,506.17/1,005.94
6. Step 6: Final answer
   x = 816.66