Finding the Fourth Proportional to 1,097.67, 1,638.69 and 1,059.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.67 : 1,638.69 = 1,059.22 : x
2. Step 2: Convert to fraction form
   1,097.67/1,638.69 = 1,059.22/x
3. Step 3: Cross multiply
   1,097.67x = 1,638.69 × 1,059.22
4. Step 4: Simplify right side
   1,097.67x = 1,735,731.30
5. Step 5: Solve for x
   x = 1,735,731.30/1,097.67
6. Step 6: Final answer
   x = 1,581.28