Finding the Fourth Proportional to 3,783.54, 5,674.86 and 1,010.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,783.54 : 5,674.86 = 1,010.42 : x
2. Step 2: Convert to fraction form
   3,783.54/5,674.86 = 1,010.42/x
3. Step 3: Cross multiply
   3,783.54x = 5,674.86 × 1,010.42
4. Step 4: Simplify right side
   3,783.54x = 5,733,992.04
5. Step 5: Solve for x
   x = 5,733,992.04/3,783.54
6. Step 6: Final answer
   x = 1,515.51