Finding the Fourth Proportional to 1,378.50, 1,902.27 and 788.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.50 : 1,902.27 = 788.95 : x
2. Step 2: Convert to fraction form
   1,378.50/1,902.27 = 788.95/x
3. Step 3: Cross multiply
   1,378.50x = 1,902.27 × 788.95
4. Step 4: Simplify right side
   1,378.50x = 1,500,796.82
5. Step 5: Solve for x
   x = 1,500,796.82/1,378.50
6. Step 6: Final answer
   x = 1,088.72