Finding the Fourth Proportional to 1,164.19, 1,606.61 and 633.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.19 : 1,606.61 = 633.10 : x
2. Step 2: Convert to fraction form
   1,164.19/1,606.61 = 633.10/x
3. Step 3: Cross multiply
   1,164.19x = 1,606.61 × 633.10
4. Step 4: Simplify right side
   1,164.19x = 1,017,144.79
5. Step 5: Solve for x
   x = 1,017,144.79/1,164.19
6. Step 6: Final answer
   x = 873.69