Finding the Fourth Proportional to 1,782.12, 2,460.42 and 1,410.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782.12 : 2,460.42 = 1,410.60 : x
2. Step 2: Convert to fraction form
   1,782.12/2,460.42 = 1,410.60/x
3. Step 3: Cross multiply
   1,782.12x = 2,460.42 × 1,410.60
4. Step 4: Simplify right side
   1,782.12x = 3,470,668.45
5. Step 5: Solve for x
   x = 3,470,668.45/1,782.12
6. Step 6: Final answer
   x = 1,947.49