Finding the Fourth Proportional to 1,164.96, 1,607.68 and 641.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.96 : 1,607.68 = 641.02 : x
2. Step 2: Convert to fraction form
   1,164.96/1,607.68 = 641.02/x
3. Step 3: Cross multiply
   1,164.96x = 1,607.68 × 641.02
4. Step 4: Simplify right side
   1,164.96x = 1,030,555.03
5. Step 5: Solve for x
   x = 1,030,555.03/1,164.96
6. Step 6: Final answer
   x = 884.63