Finding the Fourth Proportional to 1,097.80, 1,644.72 and 942.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.80 : 1,644.72 = 942.28 : x
2. Step 2: Convert to fraction form
   1,097.80/1,644.72 = 942.28/x
3. Step 3: Cross multiply
   1,097.80x = 1,644.72 × 942.28
4. Step 4: Simplify right side
   1,097.80x = 1,549,786.76
5. Step 5: Solve for x
   x = 1,549,786.76/1,097.80
6. Step 6: Final answer
   x = 1,411.72