Finding the Fourth Proportional to 1,410.61, 1,946.60 and 781.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.61 : 1,946.60 = 781.12 : x
2. Step 2: Convert to fraction form
   1,410.61/1,946.60 = 781.12/x
3. Step 3: Cross multiply
   1,410.61x = 1,946.60 × 781.12
4. Step 4: Simplify right side
   1,410.61x = 1,520,518.46
5. Step 5: Solve for x
   x = 1,520,518.46/1,410.61
6. Step 6: Final answer
   x = 1,077.92