Finding the Fourth Proportional to 2,765.22, 3,814.16 and 2,100.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,765.22 : 3,814.16 = 2,100.56 : x
2. Step 2: Convert to fraction form
   2,765.22/3,814.16 = 2,100.56/x
3. Step 3: Cross multiply
   2,765.22x = 3,814.16 × 2,100.56
4. Step 4: Simplify right side
   2,765.22x = 8,011,871.93
5. Step 5: Solve for x
   x = 8,011,871.93/2,765.22
6. Step 6: Final answer
   x = 2,897.37