Finding the Fourth Proportional to 3,460.86, 4,772.88 and 2,266.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,460.86 : 4,772.88 = 2,266.56 : x
2. Step 2: Convert to fraction form
   3,460.86/4,772.88 = 2,266.56/x
3. Step 3: Cross multiply
   3,460.86x = 4,772.88 × 2,266.56
4. Step 4: Simplify right side
   3,460.86x = 10,818,018.89
5. Step 5: Solve for x
   x = 10,818,018.89/3,460.86
6. Step 6: Final answer
   x = 3,125.82