Finding the Fourth Proportional to 1,162.91, 1,599.77 and 1,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.91 : 1,599.77 = 1,020.50 : x
2. Step 2: Convert to fraction form
   1,162.91/1,599.77 = 1,020.50/x
3. Step 3: Cross multiply
   1,162.91x = 1,599.77 × 1,020.50
4. Step 4: Simplify right side
   1,162.91x = 1,632,569.09
5. Step 5: Solve for x
   x = 1,632,569.09/1,162.91
6. Step 6: Final answer
   x = 1,403.86