Finding the Fourth Proportional to 1,410.53, 1,946.50 and 781.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.53 : 1,946.50 = 781.08 : x
2. Step 2: Convert to fraction form
   1,410.53/1,946.50 = 781.08/x
3. Step 3: Cross multiply
   1,410.53x = 1,946.50 × 781.08
4. Step 4: Simplify right side
   1,410.53x = 1,520,372.22
5. Step 5: Solve for x
   x = 1,520,372.22/1,410.53
6. Step 6: Final answer
   x = 1,077.87