Finding the Fourth Proportional to 1,460.49, 2,014.23 and 1,314.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.49 : 2,014.23 = 1,314.69 : x
2. Step 2: Convert to fraction form
   1,460.49/2,014.23 = 1,314.69/x
3. Step 3: Cross multiply
   1,460.49x = 2,014.23 × 1,314.69
4. Step 4: Simplify right side
   1,460.49x = 2,648,088.04
5. Step 5: Solve for x
   x = 2,648,088.04/1,460.49
6. Step 6: Final answer
   x = 1,813.15