Finding the Fourth Proportional to 1,071.49, 1,478.47 and 599.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.49 : 1,478.47 = 599.37 : x
2. Step 2: Convert to fraction form
   1,071.49/1,478.47 = 599.37/x
3. Step 3: Cross multiply
   1,071.49x = 1,478.47 × 599.37
4. Step 4: Simplify right side
   1,071.49x = 886,144.65
5. Step 5: Solve for x
   x = 886,144.65/1,071.49
6. Step 6: Final answer
   x = 827.02