Finding the Fourth Proportional to 1,071.46, 1,478.27 and 599.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.46 : 1,478.27 = 599.29 : x
2. Step 2: Convert to fraction form
   1,071.46/1,478.27 = 599.29/x
3. Step 3: Cross multiply
   1,071.46x = 1,478.27 × 599.29
4. Step 4: Simplify right side
   1,071.46x = 885,910.23
5. Step 5: Solve for x
   x = 885,910.23/1,071.46
6. Step 6: Final answer
   x = 826.82