Finding the Fourth Proportional to 1,165.82, 1,608.93 and 641.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.82 : 1,608.93 = 641.94 : x
2. Step 2: Convert to fraction form
   1,165.82/1,608.93 = 641.94/x
3. Step 3: Cross multiply
   1,165.82x = 1,608.93 × 641.94
4. Step 4: Simplify right side
   1,165.82x = 1,032,836.52
5. Step 5: Solve for x
   x = 1,032,836.52/1,165.82
6. Step 6: Final answer
   x = 885.93