Finding the Fourth Proportional to 3,667.50, 5,487.48 and 2,574

Step by Step Solution

1. Step 1: Write the proportion equation
   3,667.50 : 5,487.48 = 2,574 : x
2. Step 2: Convert to fraction form
   3,667.50/5,487.48 = 2,574/x
3. Step 3: Cross multiply
   3,667.50x = 5,487.48 × 2,574
4. Step 4: Simplify right side
   3,667.50x = 14,124,773.52
5. Step 5: Solve for x
   x = 14,124,773.52/3,667.50
6. Step 6: Final answer
   x = 3,851.34