Finding the Fourth Proportional to 1,368.24, 1,888.14 and 778.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,368.24 : 1,888.14 = 778.74 : x
2. Step 2: Convert to fraction form
   1,368.24/1,888.14 = 778.74/x
3. Step 3: Cross multiply
   1,368.24x = 1,888.14 × 778.74
4. Step 4: Simplify right side
   1,368.24x = 1,470,370.14
5. Step 5: Solve for x
   x = 1,470,370.14/1,368.24
6. Step 6: Final answer
   x = 1,074.64