Finding the Fourth Proportional to 1,409.53, 1,945.06 and 779.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.53 : 1,945.06 = 779.89 : x
2. Step 2: Convert to fraction form
   1,409.53/1,945.06 = 779.89/x
3. Step 3: Cross multiply
   1,409.53x = 1,945.06 × 779.89
4. Step 4: Simplify right side
   1,409.53x = 1,516,932.84
5. Step 5: Solve for x
   x = 1,516,932.84/1,409.53
6. Step 6: Final answer
   x = 1,076.20