Finding the Fourth Proportional to 1,300.53, 1,794.73 and 776.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.53 : 1,794.73 = 776.56 : x
2. Step 2: Convert to fraction form
   1,300.53/1,794.73 = 776.56/x
3. Step 3: Cross multiply
   1,300.53x = 1,794.73 × 776.56
4. Step 4: Simplify right side
   1,300.53x = 1,393,715.53
5. Step 5: Solve for x
   x = 1,393,715.53/1,300.53
6. Step 6: Final answer
   x = 1,071.65