Finding the Fourth Proportional to 1,164.73, 1,607.31 and 633.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.73 : 1,607.31 = 633.60 : x
2. Step 2: Convert to fraction form
   1,164.73/1,607.31 = 633.60/x
3. Step 3: Cross multiply
   1,164.73x = 1,607.31 × 633.60
4. Step 4: Simplify right side
   1,164.73x = 1,018,382.42
5. Step 5: Solve for x
   x = 1,018,382.42/1,164.73
6. Step 6: Final answer
   x = 874.35