Finding the Fourth Proportional to 1,410.47, 1,946.43 and 781.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.47 : 1,946.43 = 781.01 : x
2. Step 2: Convert to fraction form
   1,410.47/1,946.43 = 781.01/x
3. Step 3: Cross multiply
   1,410.47x = 1,946.43 × 781.01
4. Step 4: Simplify right side
   1,410.47x = 1,520,181.29
5. Step 5: Solve for x
   x = 1,520,181.29/1,410.47
6. Step 6: Final answer
   x = 1,077.78