Finding the Fourth Proportional to 1,072.38, 1,596.62 and 1,059.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,072.38 : 1,596.62 = 1,059.42 : x
2. Step 2: Convert to fraction form
   1,072.38/1,596.62 = 1,059.42/x
3. Step 3: Cross multiply
   1,072.38x = 1,596.62 × 1,059.42
4. Step 4: Simplify right side
   1,072.38x = 1,691,485.86
5. Step 5: Solve for x
   x = 1,691,485.86/1,072.38
6. Step 6: Final answer
   x = 1,577.32