Finding the Fourth Proportional to 1,300.14, 1,794.15 and 775.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.14 : 1,794.15 = 775.86 : x
2. Step 2: Convert to fraction form
   1,300.14/1,794.15 = 775.86/x
3. Step 3: Cross multiply
   1,300.14x = 1,794.15 × 775.86
4. Step 4: Simplify right side
   1,300.14x = 1,392,009.22
5. Step 5: Solve for x
   x = 1,392,009.22/1,300.14
6. Step 6: Final answer
   x = 1,070.66