Finding the Fourth Proportional to 1,410.61, 1,946.65 and 772.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.61 : 1,946.65 = 772.55 : x
2. Step 2: Convert to fraction form
   1,410.61/1,946.65 = 772.55/x
3. Step 3: Cross multiply
   1,410.61x = 1,946.65 × 772.55
4. Step 4: Simplify right side
   1,410.61x = 1,503,879.13
5. Step 5: Solve for x
   x = 1,503,879.13/1,410.61
6. Step 6: Final answer
   x = 1,066.12