Finding the Fourth Proportional to 1,157.86, 1,597.89 and 633.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,157.86 : 1,597.89 = 633.88 : x
2. Step 2: Convert to fraction form
   1,157.86/1,597.89 = 633.88/x
3. Step 3: Cross multiply
   1,157.86x = 1,597.89 × 633.88
4. Step 4: Simplify right side
   1,157.86x = 1,012,870.51
5. Step 5: Solve for x
   x = 1,012,870.51/1,157.86
6. Step 6: Final answer
   x = 874.78