Finding the Fourth Proportional to 1,409.76, 1,945.28 and 788.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.76 : 1,945.28 = 788.80 : x
2. Step 2: Convert to fraction form
   1,409.76/1,945.28 = 788.80/x
3. Step 3: Cross multiply
   1,409.76x = 1,945.28 × 788.80
4. Step 4: Simplify right side
   1,409.76x = 1,534,436.86
5. Step 5: Solve for x
   x = 1,534,436.86/1,409.76
6. Step 6: Final answer
   x = 1,088.44