Finding the Fourth Proportional to 1,303.69, 1,799.16 and 772.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,303.69 : 1,799.16 = 772.61 : x
2. Step 2: Convert to fraction form
   1,303.69/1,799.16 = 772.61/x
3. Step 3: Cross multiply
   1,303.69x = 1,799.16 × 772.61
4. Step 4: Simplify right side
   1,303.69x = 1,390,040.01
5. Step 5: Solve for x
   x = 1,390,040.01/1,303.69
6. Step 6: Final answer
   x = 1,066.24