Finding the Fourth Proportional to 2,971.52, 4,456.86 and 780.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,971.52 : 4,456.86 = 780.42 : x
2. Step 2: Convert to fraction form
   2,971.52/4,456.86 = 780.42/x
3. Step 3: Cross multiply
   2,971.52x = 4,456.86 × 780.42
4. Step 4: Simplify right side
   2,971.52x = 3,478,222.68
5. Step 5: Solve for x
   x = 3,478,222.68/2,971.52
6. Step 6: Final answer
   x = 1,170.52