Finding the Fourth Proportional to 1,460.48, 2,001.28 and 1,406.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.48 : 2,001.28 = 1,406.72 : x
2. Step 2: Convert to fraction form
   1,460.48/2,001.28 = 1,406.72/x
3. Step 3: Cross multiply
   1,460.48x = 2,001.28 × 1,406.72
4. Step 4: Simplify right side
   1,460.48x = 2,815,240.60
5. Step 5: Solve for x
   x = 2,815,240.60/1,460.48
6. Step 6: Final answer
   x = 1,927.61