Finding the Fourth Proportional to 1,071.37, 1,478.42 and 599.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.37 : 1,478.42 = 599.16 : x
2. Step 2: Convert to fraction form
   1,071.37/1,478.42 = 599.16/x
3. Step 3: Cross multiply
   1,071.37x = 1,478.42 × 599.16
4. Step 4: Simplify right side
   1,071.37x = 885,810.39
5. Step 5: Solve for x
   x = 885,810.39/1,071.37
6. Step 6: Final answer
   x = 826.80