Finding the Fourth Proportional to 1,164.58, 1,607.15 and 633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.58 : 1,607.15 = 633.50 : x
2. Step 2: Convert to fraction form
   1,164.58/1,607.15 = 633.50/x
3. Step 3: Cross multiply
   1,164.58x = 1,607.15 × 633.50
4. Step 4: Simplify right side
   1,164.58x = 1,018,123.07
5. Step 5: Solve for x
   x = 1,018,123.07/1,164.58
6. Step 6: Final answer
   x = 874.24