Finding the Fourth Proportional to 1,191.42, 1,654.07 and 1,155.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.42 : 1,654.07 = 1,155.78 : x
2. Step 2: Convert to fraction form
   1,191.42/1,654.07 = 1,155.78/x
3. Step 3: Cross multiply
   1,191.42x = 1,654.07 × 1,155.78
4. Step 4: Simplify right side
   1,191.42x = 1,911,735.25
5. Step 5: Solve for x
   x = 1,911,735.25/1,191.42
6. Step 6: Final answer
   x = 1,604.59