Finding the Fourth Proportional to 1,185.00, 1,634.73 and 765.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.00 : 1,634.73 = 765.72 : x
2. Step 2: Convert to fraction form
   1,185.00/1,634.73 = 765.72/x
3. Step 3: Cross multiply
   1,185.00x = 1,634.73 × 765.72
4. Step 4: Simplify right side
   1,185.00x = 1,251,735.15
5. Step 5: Solve for x
   x = 1,251,735.15/1,185.00
6. Step 6: Final answer
   x = 1,056.31