Finding the Fourth Proportional to 1,648.53, 2,470.34 and 1,607.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.53 : 2,470.34 = 1,607.78 : x
2. Step 2: Convert to fraction form
   1,648.53/2,470.34 = 1,607.78/x
3. Step 3: Cross multiply
   1,648.53x = 2,470.34 × 1,607.78
4. Step 4: Simplify right side
   1,648.53x = 3,971,754.91
5. Step 5: Solve for x
   x = 3,971,754.91/1,648.53
6. Step 6: Final answer
   x = 2,409.27