Finding the Fourth Proportional to 1,596.62, 2,201.86 and 1,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,596.62 : 2,201.86 = 1,036.50 : x
2. Step 2: Convert to fraction form
   1,596.62/2,201.86 = 1,036.50/x
3. Step 3: Cross multiply
   1,596.62x = 2,201.86 × 1,036.50
4. Step 4: Simplify right side
   1,596.62x = 2,282,227.89
5. Step 5: Solve for x
   x = 2,282,227.89/1,596.62
6. Step 6: Final answer
   x = 1,429.41