Finding the Fourth Proportional to 3,770.50, 5,202.78 and 2,091.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,770.50 : 5,202.78 = 2,091.94 : x
2. Step 2: Convert to fraction form
   3,770.50/5,202.78 = 2,091.94/x
3. Step 3: Cross multiply
   3,770.50x = 5,202.78 × 2,091.94
4. Step 4: Simplify right side
   3,770.50x = 10,883,903.59
5. Step 5: Solve for x
   x = 10,883,903.59/3,770.50
6. Step 6: Final answer
   x = 2,886.59