Finding the Fourth Proportional to 1,300.14, 1,794.42 and 776.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.14 : 1,794.42 = 776.52 : x
2. Step 2: Convert to fraction form
   1,300.14/1,794.42 = 776.52/x
3. Step 3: Cross multiply
   1,300.14x = 1,794.42 × 776.52
4. Step 4: Simplify right side
   1,300.14x = 1,393,403.02
5. Step 5: Solve for x
   x = 1,393,403.02/1,300.14
6. Step 6: Final answer
   x = 1,071.73