Finding the Fourth Proportional to 1,436.58, 2,155.10 and 462.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,436.58 : 2,155.10 = 462.78 : x
2. Step 2: Convert to fraction form
   1,436.58/2,155.10 = 462.78/x
3. Step 3: Cross multiply
   1,436.58x = 2,155.10 × 462.78
4. Step 4: Simplify right side
   1,436.58x = 997,334.86
5. Step 5: Solve for x
   x = 997,334.86/1,436.58
6. Step 6: Final answer
   x = 694.24