Finding the Fourth Proportional to 1,424.18, 1,965.93 and 1,005.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,424.18 : 1,965.93 = 1,005.14 : x
2. Step 2: Convert to fraction form
   1,424.18/1,965.93 = 1,005.14/x
3. Step 3: Cross multiply
   1,424.18x = 1,965.93 × 1,005.14
4. Step 4: Simplify right side
   1,424.18x = 1,976,034.88
5. Step 5: Solve for x
   x = 1,976,034.88/1,424.18
6. Step 6: Final answer
   x = 1,387.49