Finding the Fourth Proportional to 1,100.71, 1,642.01 and 1,022.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.71 : 1,642.01 = 1,022.14 : x
2. Step 2: Convert to fraction form
   1,100.71/1,642.01 = 1,022.14/x
3. Step 3: Cross multiply
   1,100.71x = 1,642.01 × 1,022.14
4. Step 4: Simplify right side
   1,100.71x = 1,678,364.10
5. Step 5: Solve for x
   x = 1,678,364.10/1,100.71
6. Step 6: Final answer
   x = 1,524.80