Finding the Fourth Proportional to 1,097.34, 1,644.14 and 772.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.34 : 1,644.14 = 772.10 : x
2. Step 2: Convert to fraction form
   1,097.34/1,644.14 = 772.10/x
3. Step 3: Cross multiply
   1,097.34x = 1,644.14 × 772.10
4. Step 4: Simplify right side
   1,097.34x = 1,269,440.49
5. Step 5: Solve for x
   x = 1,269,440.49/1,097.34
6. Step 6: Final answer
   x = 1,156.83