Finding the Fourth Proportional to 1,019.58, 1,406.93 and 599.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.58 : 1,406.93 = 599.86 : x
2. Step 2: Convert to fraction form
   1,019.58/1,406.93 = 599.86/x
3. Step 3: Cross multiply
   1,019.58x = 1,406.93 × 599.86
4. Step 4: Simplify right side
   1,019.58x = 843,961.03
5. Step 5: Solve for x
   x = 843,961.03/1,019.58
6. Step 6: Final answer
   x = 827.75