Finding the Fourth Proportional to 1,191.37, 1,643.91 and 772.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.37 : 1,643.91 = 772.30 : x
2. Step 2: Convert to fraction form
   1,191.37/1,643.91 = 772.30/x
3. Step 3: Cross multiply
   1,191.37x = 1,643.91 × 772.30
4. Step 4: Simplify right side
   1,191.37x = 1,269,591.69
5. Step 5: Solve for x
   x = 1,269,591.69/1,191.37
6. Step 6: Final answer
   x = 1,065.66