Finding the Fourth Proportional to 1,225.78, 1,837.59 and 878.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,225.78 : 1,837.59 = 878.24 : x
2. Step 2: Convert to fraction form
   1,225.78/1,837.59 = 878.24/x
3. Step 3: Cross multiply
   1,225.78x = 1,837.59 × 878.24
4. Step 4: Simplify right side
   1,225.78x = 1,613,846.34
5. Step 5: Solve for x
   x = 1,613,846.34/1,225.78
6. Step 6: Final answer
   x = 1,316.58