Finding the Fourth Proportional to 1,298.22, 1,792.50 and 801.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.22 : 1,792.50 = 801.06 : x
2. Step 2: Convert to fraction form
   1,298.22/1,792.50 = 801.06/x
3. Step 3: Cross multiply
   1,298.22x = 1,792.50 × 801.06
4. Step 4: Simplify right side
   1,298.22x = 1,435,900.05
5. Step 5: Solve for x
   x = 1,435,900.05/1,298.22
6. Step 6: Final answer
   x = 1,106.05