Finding the Fourth Proportional to 1,472.81, 2,205.27 and 778.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,472.81 : 2,205.27 = 778.04 : x
2. Step 2: Convert to fraction form
   1,472.81/2,205.27 = 778.04/x
3. Step 3: Cross multiply
   1,472.81x = 2,205.27 × 778.04
4. Step 4: Simplify right side
   1,472.81x = 1,715,788.27
5. Step 5: Solve for x
   x = 1,715,788.27/1,472.81
6. Step 6: Final answer
   x = 1,164.98