Finding the Fourth Proportional to 3,778.45, 5,667.18 and 1,005.35

Step by Step Solution

1. Step 1: Write the proportion equation
   3,778.45 : 5,667.18 = 1,005.35 : x
2. Step 2: Convert to fraction form
   3,778.45/5,667.18 = 1,005.35/x
3. Step 3: Cross multiply
   3,778.45x = 5,667.18 × 1,005.35
4. Step 4: Simplify right side
   3,778.45x = 5,697,499.41
5. Step 5: Solve for x
   x = 5,697,499.41/3,778.45
6. Step 6: Final answer
   x = 1,507.89