Finding the Fourth Proportional to 1,164.83, 1,607.50 and 633.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.83 : 1,607.50 = 633.75 : x
2. Step 2: Convert to fraction form
   1,164.83/1,607.50 = 633.75/x
3. Step 3: Cross multiply
   1,164.83x = 1,607.50 × 633.75
4. Step 4: Simplify right side
   1,164.83x = 1,018,743.50
5. Step 5: Solve for x
   x = 1,018,743.50/1,164.83
6. Step 6: Final answer
   x = 874.58