Finding the Fourth Proportional to 1,378.05, 1,900.83 and 880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.05 : 1,900.83 = 880.50 : x
2. Step 2: Convert to fraction form
   1,378.05/1,900.83 = 880.50/x
3. Step 3: Cross multiply
   1,378.05x = 1,900.83 × 880.50
4. Step 4: Simplify right side
   1,378.05x = 1,673,680.82
5. Step 5: Solve for x
   x = 1,673,680.82/1,378.05
6. Step 6: Final answer
   x = 1,214.53