Finding the Fourth Proportional to 980.47, 1,471.83 and 775.72

Step by Step Solution

1. Step 1: Write the proportion equation
   980.47 : 1,471.83 = 775.72 : x
2. Step 2: Convert to fraction form
   980.47/1,471.83 = 775.72/x
3. Step 3: Cross multiply
   980.47x = 1,471.83 × 775.72
4. Step 4: Simplify right side
   980.47x = 1,141,727.97
5. Step 5: Solve for x
   x = 1,141,727.97/980.47
6. Step 6: Final answer
   x = 1,164.47