Finding the Fourth Proportional to 1,164.31, 1,606.76 and 633.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.31 : 1,606.76 = 633.20 : x
2. Step 2: Convert to fraction form
   1,164.31/1,606.76 = 633.20/x
3. Step 3: Cross multiply
   1,164.31x = 1,606.76 × 633.20
4. Step 4: Simplify right side
   1,164.31x = 1,017,400.43
5. Step 5: Solve for x
   x = 1,017,400.43/1,164.31
6. Step 6: Final answer
   x = 873.82