Finding the Fourth Proportional to 1,019.51, 1,406.93 and 599.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.51 : 1,406.93 = 599.87 : x
2. Step 2: Convert to fraction form
   1,019.51/1,406.93 = 599.87/x
3. Step 3: Cross multiply
   1,019.51x = 1,406.93 × 599.87
4. Step 4: Simplify right side
   1,019.51x = 843,965.07
5. Step 5: Solve for x
   x = 843,965.07/1,019.51
6. Step 6: Final answer
   x = 827.82