Finding the Fourth Proportional to 1,222.34, 1,832.54 and 400.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,222.34 : 1,832.54 = 400.10 : x
2. Step 2: Convert to fraction form
   1,222.34/1,832.54 = 400.10/x
3. Step 3: Cross multiply
   1,222.34x = 1,832.54 × 400.10
4. Step 4: Simplify right side
   1,222.34x = 733,188.09
5. Step 5: Solve for x
   x = 733,188.09/1,222.34
6. Step 6: Final answer
   x = 599.83