Finding the Fourth Proportional to 1,427.41, 1,969.81 and 1,002.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.41 : 1,969.81 = 1,002.63 : x
2. Step 2: Convert to fraction form
   1,427.41/1,969.81 = 1,002.63/x
3. Step 3: Cross multiply
   1,427.41x = 1,969.81 × 1,002.63
4. Step 4: Simplify right side
   1,427.41x = 1,974,990.60
5. Step 5: Solve for x
   x = 1,974,990.60/1,427.41
6. Step 6: Final answer
   x = 1,383.62