Finding the Fourth Proportional to 1,097.93, 1,642.56 and 611.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.93 : 1,642.56 = 611.30 : x
2. Step 2: Convert to fraction form
   1,097.93/1,642.56 = 611.30/x
3. Step 3: Cross multiply
   1,097.93x = 1,642.56 × 611.30
4. Step 4: Simplify right side
   1,097.93x = 1,004,096.93
5. Step 5: Solve for x
   x = 1,004,096.93/1,097.93
6. Step 6: Final answer
   x = 914.54