Finding the Fourth Proportional to 1,464.42, 2,196.50 and 368.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.42 : 2,196.50 = 368.78 : x
2. Step 2: Convert to fraction form
   1,464.42/2,196.50 = 368.78/x
3. Step 3: Cross multiply
   1,464.42x = 2,196.50 × 368.78
4. Step 4: Simplify right side
   1,464.42x = 810,025.27
5. Step 5: Solve for x
   x = 810,025.27/1,464.42
6. Step 6: Final answer
   x = 553.14