Finding the Fourth Proportional to 3,778.50, 5,667.72 and 1,470

Step by Step Solution

1. Step 1: Write the proportion equation
   3,778.50 : 5,667.72 = 1,470 : x
2. Step 2: Convert to fraction form
   3,778.50/5,667.72 = 1,470/x
3. Step 3: Cross multiply
   3,778.50x = 5,667.72 × 1,470
4. Step 4: Simplify right side
   3,778.50x = 8,331,548.40
5. Step 5: Solve for x
   x = 8,331,548.40/3,778.50
6. Step 6: Final answer
   x = 2,204.99