Finding the Fourth Proportional to 2,520.50, 3,478.32 and 1,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,520.50 : 3,478.32 = 1,416.50 : x
2. Step 2: Convert to fraction form
   2,520.50/3,478.32 = 1,416.50/x
3. Step 3: Cross multiply
   2,520.50x = 3,478.32 × 1,416.50
4. Step 4: Simplify right side
   2,520.50x = 4,927,040.28
5. Step 5: Solve for x
   x = 4,927,040.28/2,520.50
6. Step 6: Final answer
   x = 1,954.79