Finding the Fourth Proportional to 2,059.76, 2,842.35 and 1,163.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,059.76 : 2,842.35 = 1,163.50 : x
2. Step 2: Convert to fraction form
   2,059.76/2,842.35 = 1,163.50/x
3. Step 3: Cross multiply
   2,059.76x = 2,842.35 × 1,163.50
4. Step 4: Simplify right side
   2,059.76x = 3,307,074.23
5. Step 5: Solve for x
   x = 3,307,074.23/2,059.76
6. Step 6: Final answer
   x = 1,605.56