Finding the Fourth Proportional to 4,116.16, 6,174.89 and 1,776.83

Step by Step Solution

1. Step 1: Write the proportion equation
   4,116.16 : 6,174.89 = 1,776.83 : x
2. Step 2: Convert to fraction form
   4,116.16/6,174.89 = 1,776.83/x
3. Step 3: Cross multiply
   4,116.16x = 6,174.89 × 1,776.83
4. Step 4: Simplify right side
   4,116.16x = 10,971,720.91
5. Step 5: Solve for x
   x = 10,971,720.91/4,116.16
6. Step 6: Final answer
   x = 2,665.53