Finding the Fourth Proportional to 1,164.80, 1,607.43 and 633.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.80 : 1,607.43 = 633.69 : x
2. Step 2: Convert to fraction form
   1,164.80/1,607.43 = 633.69/x
3. Step 3: Cross multiply
   1,164.80x = 1,607.43 × 633.69
4. Step 4: Simplify right side
   1,164.80x = 1,018,619.53
5. Step 5: Solve for x
   x = 1,018,619.53/1,164.80
6. Step 6: Final answer
   x = 874.50