Finding the Fourth Proportional to 1,071.56, 1,478.78 and 599.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.56 : 1,478.78 = 599.48 : x
2. Step 2: Convert to fraction form
   1,071.56/1,478.78 = 599.48/x
3. Step 3: Cross multiply
   1,071.56x = 1,478.78 × 599.48
4. Step 4: Simplify right side
   1,071.56x = 886,488.64
5. Step 5: Solve for x
   x = 886,488.64/1,071.56
6. Step 6: Final answer
   x = 827.29