Finding the Fourth Proportional to 1,164.91, 1,607.60 and 633.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.91 : 1,607.60 = 633.83 : x
2. Step 2: Convert to fraction form
   1,164.91/1,607.60 = 633.83/x
3. Step 3: Cross multiply
   1,164.91x = 1,607.60 × 633.83
4. Step 4: Simplify right side
   1,164.91x = 1,018,938.65
5. Step 5: Solve for x
   x = 1,018,938.65/1,164.91
6. Step 6: Final answer
   x = 874.69