Finding the Fourth Proportional to 1,376.00, 1,898.78 and 778.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,376.00 : 1,898.78 = 778.49 : x
2. Step 2: Convert to fraction form
   1,376.00/1,898.78 = 778.49/x
3. Step 3: Cross multiply
   1,376.00x = 1,898.78 × 778.49
4. Step 4: Simplify right side
   1,376.00x = 1,478,167.86
5. Step 5: Solve for x
   x = 1,478,167.86/1,376.00
6. Step 6: Final answer
   x = 1,074.25