Finding the Fourth Proportional to 1,468.10, 2,026.14 and 878.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,468.10 : 2,026.14 = 878.78 : x
2. Step 2: Convert to fraction form
   1,468.10/2,026.14 = 878.78/x
3. Step 3: Cross multiply
   1,468.10x = 2,026.14 × 878.78
4. Step 4: Simplify right side
   1,468.10x = 1,780,531.31
5. Step 5: Solve for x
   x = 1,780,531.31/1,468.10
6. Step 6: Final answer
   x = 1,212.81