Finding the Fourth Proportional to 2,072.40, 3,111.24 and 1,781.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,072.40 : 3,111.24 = 1,781.76 : x
2. Step 2: Convert to fraction form
   2,072.40/3,111.24 = 1,781.76/x
3. Step 3: Cross multiply
   2,072.40x = 3,111.24 × 1,781.76
4. Step 4: Simplify right side
   2,072.40x = 5,543,482.98
5. Step 5: Solve for x
   x = 5,543,482.98/2,072.40
6. Step 6: Final answer
   x = 2,674.91