Finding the Fourth Proportional to 980.82, 1,477.98 and 811.30

Step by Step Solution

1. Step 1: Write the proportion equation
   980.82 : 1,477.98 = 811.30 : x
2. Step 2: Convert to fraction form
   980.82/1,477.98 = 811.30/x
3. Step 3: Cross multiply
   980.82x = 1,477.98 × 811.30
4. Step 4: Simplify right side
   980.82x = 1,199,085.17
5. Step 5: Solve for x
   x = 1,199,085.17/980.82
6. Step 6: Final answer
   x = 1,222.53