Finding the Fourth Proportional to 5,116.56, 7,675.89 and 1,829.58

Step by Step Solution

1. Step 1: Write the proportion equation
   5,116.56 : 7,675.89 = 1,829.58 : x
2. Step 2: Convert to fraction form
   5,116.56/7,675.89 = 1,829.58/x
3. Step 3: Cross multiply
   5,116.56x = 7,675.89 × 1,829.58
4. Step 4: Simplify right side
   5,116.56x = 14,043,654.83
5. Step 5: Solve for x
   x = 14,043,654.83/5,116.56
6. Step 6: Final answer
   x = 2,744.75