Finding the Fourth Proportional to 1,071.54, 1,478.76 and 599.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.54 : 1,478.76 = 599.49 : x
2. Step 2: Convert to fraction form
   1,071.54/1,478.76 = 599.49/x
3. Step 3: Cross multiply
   1,071.54x = 1,478.76 × 599.49
4. Step 4: Simplify right side
   1,071.54x = 886,501.83
5. Step 5: Solve for x
   x = 886,501.83/1,071.54
6. Step 6: Final answer
   x = 827.32