Finding the Fourth Proportional to 1,191.16, 1,642.01 and 765.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.16 : 1,642.01 = 765.73 : x
2. Step 2: Convert to fraction form
   1,191.16/1,642.01 = 765.73/x
3. Step 3: Cross multiply
   1,191.16x = 1,642.01 × 765.73
4. Step 4: Simplify right side
   1,191.16x = 1,257,336.32
5. Step 5: Solve for x
   x = 1,257,336.32/1,191.16
6. Step 6: Final answer
   x = 1,055.56