Finding the Fourth Proportional to 1,419.64, 2,123.78 and 1,008.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.64 : 2,123.78 = 1,008.98 : x
2. Step 2: Convert to fraction form
   1,419.64/2,123.78 = 1,008.98/x
3. Step 3: Cross multiply
   1,419.64x = 2,123.78 × 1,008.98
4. Step 4: Simplify right side
   1,419.64x = 2,142,851.54
5. Step 5: Solve for x
   x = 2,142,851.54/1,419.64
6. Step 6: Final answer
   x = 1,509.43