Finding the Fourth Proportional to 2,204.30, 3,300.78 and 1,461.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,204.30 : 3,300.78 = 1,461.62 : x
2. Step 2: Convert to fraction form
   2,204.30/3,300.78 = 1,461.62/x
3. Step 3: Cross multiply
   2,204.30x = 3,300.78 × 1,461.62
4. Step 4: Simplify right side
   2,204.30x = 4,824,486.06
5. Step 5: Solve for x
   x = 4,824,486.06/2,204.30
6. Step 6: Final answer
   x = 2,188.67