Finding the Fourth Proportional to 1,157.80, 1,597.72 and 633.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,157.80 : 1,597.72 = 633.82 : x
2. Step 2: Convert to fraction form
   1,157.80/1,597.72 = 633.82/x
3. Step 3: Cross multiply
   1,157.80x = 1,597.72 × 633.82
4. Step 4: Simplify right side
   1,157.80x = 1,012,658.90
5. Step 5: Solve for x
   x = 1,012,658.90/1,157.80
6. Step 6: Final answer
   x = 874.64