Finding the Fourth Proportional to 976.72, 1,462.32 and 779.86

Step by Step Solution

1. Step 1: Write the proportion equation
   976.72 : 1,462.32 = 779.86 : x
2. Step 2: Convert to fraction form
   976.72/1,462.32 = 779.86/x
3. Step 3: Cross multiply
   976.72x = 1,462.32 × 779.86
4. Step 4: Simplify right side
   976.72x = 1,140,404.88
5. Step 5: Solve for x
   x = 1,140,404.88/976.72
6. Step 6: Final answer
   x = 1,167.59