Finding the Fourth Proportional to 1,185.01, 1,634.81 and 742.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.01 : 1,634.81 = 742.83 : x
2. Step 2: Convert to fraction form
   1,185.01/1,634.81 = 742.83/x
3. Step 3: Cross multiply
   1,185.01x = 1,634.81 × 742.83
4. Step 4: Simplify right side
   1,185.01x = 1,214,382.75
5. Step 5: Solve for x
   x = 1,214,382.75/1,185.01
6. Step 6: Final answer
   x = 1,024.78