Finding the Fourth Proportional to 1,436.50, 2,155.13 and 778.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,436.50 : 2,155.13 = 778.22 : x
2. Step 2: Convert to fraction form
   1,436.50/2,155.13 = 778.22/x
3. Step 3: Cross multiply
   1,436.50x = 2,155.13 × 778.22
4. Step 4: Simplify right side
   1,436.50x = 1,677,172.69
5. Step 5: Solve for x
   x = 1,677,172.69/1,436.50
6. Step 6: Final answer
   x = 1,167.54