Finding the Fourth Proportional to 2,971.76, 4,456.69 and 2,777.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,971.76 : 4,456.69 = 2,777.63 : x
2. Step 2: Convert to fraction form
   2,971.76/4,456.69 = 2,777.63/x
3. Step 3: Cross multiply
   2,971.76x = 4,456.69 × 2,777.63
4. Step 4: Simplify right side
   2,971.76x = 12,379,006.62
5. Step 5: Solve for x
   x = 12,379,006.62/2,971.76
6. Step 6: Final answer
   x = 4,165.55