Finding the Fourth Proportional to 1,410.67, 1,946.58 and 781.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.67 : 1,946.58 = 781.21 : x
2. Step 2: Convert to fraction form
   1,410.67/1,946.58 = 781.21/x
3. Step 3: Cross multiply
   1,410.67x = 1,946.58 × 781.21
4. Step 4: Simplify right side
   1,410.67x = 1,520,687.76
5. Step 5: Solve for x
   x = 1,520,687.76/1,410.67
6. Step 6: Final answer
   x = 1,077.99