Finding the Fourth Proportional to 1,735.98, 2,599.77 and 1,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,735.98 : 2,599.77 = 1,216.50 : x
2. Step 2: Convert to fraction form
   1,735.98/2,599.77 = 1,216.50/x
3. Step 3: Cross multiply
   1,735.98x = 2,599.77 × 1,216.50
4. Step 4: Simplify right side
   1,735.98x = 3,162,620.21
5. Step 5: Solve for x
   x = 3,162,620.21/1,735.98
6. Step 6: Final answer
   x = 1,821.81