Finding the Fourth Proportional to 3,699.60, 5,105.50 and 2,020.99

Step by Step Solution

1. Step 1: Write the proportion equation
   3,699.60 : 5,105.50 = 2,020.99 : x
2. Step 2: Convert to fraction form
   3,699.60/5,105.50 = 2,020.99/x
3. Step 3: Cross multiply
   3,699.60x = 5,105.50 × 2,020.99
4. Step 4: Simplify right side
   3,699.60x = 10,318,146.63
5. Step 5: Solve for x
   x = 10,318,146.63/3,699.60
6. Step 6: Final answer
   x = 2,788.99