Finding the Fourth Proportional to 1,097.34, 1,643.85 and 771.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.34 : 1,643.85 = 771.42 : x
2. Step 2: Convert to fraction form
   1,097.34/1,643.85 = 771.42/x
3. Step 3: Cross multiply
   1,097.34x = 1,643.85 × 771.42
4. Step 4: Simplify right side
   1,097.34x = 1,268,098.77
5. Step 5: Solve for x
   x = 1,268,098.77/1,097.34
6. Step 6: Final answer
   x = 1,155.61