Finding the Fourth Proportional to 1,071.47, 1,478.53 and 599.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.47 : 1,478.53 = 599.34 : x
2. Step 2: Convert to fraction form
   1,071.47/1,478.53 = 599.34/x
3. Step 3: Cross multiply
   1,071.47x = 1,478.53 × 599.34
4. Step 4: Simplify right side
   1,071.47x = 886,140.67
5. Step 5: Solve for x
   x = 886,140.67/1,071.47
6. Step 6: Final answer
   x = 827.03