Finding the Fourth Proportional to 1,642.27, 2,266.82 and 1,075.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.27 : 2,266.82 = 1,075.20 : x
2. Step 2: Convert to fraction form
   1,642.27/2,266.82 = 1,075.20/x
3. Step 3: Cross multiply
   1,642.27x = 2,266.82 × 1,075.20
4. Step 4: Simplify right side
   1,642.27x = 2,437,284.86
5. Step 5: Solve for x
   x = 2,437,284.86/1,642.27
6. Step 6: Final answer
   x = 1,484.10