Finding the Fourth Proportional to 969.72, 1,451.82 and 772.86

Step by Step Solution

1. Step 1: Write the proportion equation
   969.72 : 1,451.82 = 772.86 : x
2. Step 2: Convert to fraction form
   969.72/1,451.82 = 772.86/x
3. Step 3: Cross multiply
   969.72x = 1,451.82 × 772.86
4. Step 4: Simplify right side
   969.72x = 1,122,053.61
5. Step 5: Solve for x
   x = 1,122,053.61/969.72
6. Step 6: Final answer
   x = 1,157.09