Finding the Fourth Proportional to 2,045.72, 2,822.12 and 1,382.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,045.72 : 2,822.12 = 1,382.80 : x
2. Step 2: Convert to fraction form
   2,045.72/2,822.12 = 1,382.80/x
3. Step 3: Cross multiply
   2,045.72x = 2,822.12 × 1,382.80
4. Step 4: Simplify right side
   2,045.72x = 3,902,427.54
5. Step 5: Solve for x
   x = 3,902,427.54/2,045.72
6. Step 6: Final answer
   x = 1,907.61