Finding the Fourth Proportional to 2,892.50, 3,998.85 and 2,770.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,892.50 : 3,998.85 = 2,770.10 : x
2. Step 2: Convert to fraction form
   2,892.50/3,998.85 = 2,770.10/x
3. Step 3: Cross multiply
   2,892.50x = 3,998.85 × 2,770.10
4. Step 4: Simplify right side
   2,892.50x = 11,077,214.39
5. Step 5: Solve for x
   x = 11,077,214.39/2,892.50
6. Step 6: Final answer
   x = 3,829.63