Finding the Fourth Proportional to 1,165.71, 1,608.61 and 641.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.71 : 1,608.61 = 641.76 : x
2. Step 2: Convert to fraction form
   1,165.71/1,608.61 = 641.76/x
3. Step 3: Cross multiply
   1,165.71x = 1,608.61 × 641.76
4. Step 4: Simplify right side
   1,165.71x = 1,032,341.55
5. Step 5: Solve for x
   x = 1,032,341.55/1,165.71
6. Step 6: Final answer
   x = 885.59