Finding the Fourth Proportional to 2,005.72, 2,770.70 and 1,900.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.72 : 2,770.70 = 1,900.63 : x
2. Step 2: Convert to fraction form
   2,005.72/2,770.70 = 1,900.63/x
3. Step 3: Cross multiply
   2,005.72x = 2,770.70 × 1,900.63
4. Step 4: Simplify right side
   2,005.72x = 5,266,075.54
5. Step 5: Solve for x
   x = 5,266,075.54/2,005.72
6. Step 6: Final answer
   x = 2,625.53