Finding the Fourth Proportional to 3,647.50, 5,033.58 and 1,991.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,647.50 : 5,033.58 = 1,991.50 : x
2. Step 2: Convert to fraction form
   3,647.50/5,033.58 = 1,991.50/x
3. Step 3: Cross multiply
   3,647.50x = 5,033.58 × 1,991.50
4. Step 4: Simplify right side
   3,647.50x = 10,024,374.57
5. Step 5: Solve for x
   x = 10,024,374.57/3,647.50
6. Step 6: Final answer
   x = 2,748.29