Finding the Fourth Proportional to 1,409.76, 1,945.44 and 771.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.76 : 1,945.44 = 771.69 : x
2. Step 2: Convert to fraction form
   1,409.76/1,945.44 = 771.69/x
3. Step 3: Cross multiply
   1,409.76x = 1,945.44 × 771.69
4. Step 4: Simplify right side
   1,409.76x = 1,501,276.59
5. Step 5: Solve for x
   x = 1,501,276.59/1,409.76
6. Step 6: Final answer
   x = 1,064.92