Finding the Fourth Proportional to 1,410.51, 1,946.43 and 781.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.51 : 1,946.43 = 781.02 : x
2. Step 2: Convert to fraction form
   1,410.51/1,946.43 = 781.02/x
3. Step 3: Cross multiply
   1,410.51x = 1,946.43 × 781.02
4. Step 4: Simplify right side
   1,410.51x = 1,520,200.76
5. Step 5: Solve for x
   x = 1,520,200.76/1,410.51
6. Step 6: Final answer
   x = 1,077.77