Finding the Fourth Proportional to 5,111.15, 7,657.61 and 3,461.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.15 : 7,657.61 = 3,461.78 : x
2. Step 2: Convert to fraction form
   5,111.15/7,657.61 = 3,461.78/x
3. Step 3: Cross multiply
   5,111.15x = 7,657.61 × 3,461.78
4. Step 4: Simplify right side
   5,111.15x = 26,508,962.98
5. Step 5: Solve for x
   x = 26,508,962.98/5,111.15
6. Step 6: Final answer
   x = 5,186.50