Finding the Fourth Proportional to 3,875.56, 5,814.89 and 1,410.55

Step by Step Solution

1. Step 1: Write the proportion equation
   3,875.56 : 5,814.89 = 1,410.55 : x
2. Step 2: Convert to fraction form
   3,875.56/5,814.89 = 1,410.55/x
3. Step 3: Cross multiply
   3,875.56x = 5,814.89 × 1,410.55
4. Step 4: Simplify right side
   3,875.56x = 8,202,196.62
5. Step 5: Solve for x
   x = 8,202,196.62/3,875.56
6. Step 6: Final answer
   x = 2,116.39