Finding the Fourth Proportional to 1,071.52, 1,478.78 and 599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.52 : 1,478.78 = 599.50 : x
2. Step 2: Convert to fraction form
   1,071.52/1,478.78 = 599.50/x
3. Step 3: Cross multiply
   1,071.52x = 1,478.78 × 599.50
4. Step 4: Simplify right side
   1,071.52x = 886,528.61
5. Step 5: Solve for x
   x = 886,528.61/1,071.52
6. Step 6: Final answer
   x = 827.36