Finding the Fourth Proportional to 1,375.64, 1,898.33 and 778.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,375.64 : 1,898.33 = 778.15 : x
2. Step 2: Convert to fraction form
   1,375.64/1,898.33 = 778.15/x
3. Step 3: Cross multiply
   1,375.64x = 1,898.33 × 778.15
4. Step 4: Simplify right side
   1,375.64x = 1,477,185.49
5. Step 5: Solve for x
   x = 1,477,185.49/1,375.64
6. Step 6: Final answer
   x = 1,073.82