Finding the Fourth Proportional to 1,461.24, 2,190.24 and 811.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.24 : 2,190.24 = 811.62 : x
2. Step 2: Convert to fraction form
   1,461.24/2,190.24 = 811.62/x
3. Step 3: Cross multiply
   1,461.24x = 2,190.24 × 811.62
4. Step 4: Simplify right side
   1,461.24x = 1,777,642.59
5. Step 5: Solve for x
   x = 1,777,642.59/1,461.24
6. Step 6: Final answer
   x = 1,216.53