Finding the Fourth Proportional to 1,378.38, 1,902.06 and 788.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.38 : 1,902.06 = 788.82 : x
2. Step 2: Convert to fraction form
   1,378.38/1,902.06 = 788.82/x
3. Step 3: Cross multiply
   1,378.38x = 1,902.06 × 788.82
4. Step 4: Simplify right side
   1,378.38x = 1,500,382.97
5. Step 5: Solve for x
   x = 1,500,382.97/1,378.38
6. Step 6: Final answer
   x = 1,088.51