Finding the Fourth Proportional to 1,157.69, 1,597.61 and 633.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,157.69 : 1,597.61 = 633.71 : x
2. Step 2: Convert to fraction form
   1,157.69/1,597.61 = 633.71/x
3. Step 3: Cross multiply
   1,157.69x = 1,597.61 × 633.71
4. Step 4: Simplify right side
   1,157.69x = 1,012,410.28
5. Step 5: Solve for x
   x = 1,012,410.28/1,157.69
6. Step 6: Final answer
   x = 874.51