Finding the Fourth Proportional to 1,097.74, 1,644.99 and 610.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.74 : 1,644.99 = 610.12 : x
2. Step 2: Convert to fraction form
   1,097.74/1,644.99 = 610.12/x
3. Step 3: Cross multiply
   1,097.74x = 1,644.99 × 610.12
4. Step 4: Simplify right side
   1,097.74x = 1,003,641.30
5. Step 5: Solve for x
   x = 1,003,641.30/1,097.74
6. Step 6: Final answer
   x = 914.28