Finding the Fourth Proportional to 1,215.60, 1,824.00 and 804.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,215.60 : 1,824.00 = 804.62 : x
2. Step 2: Convert to fraction form
   1,215.60/1,824.00 = 804.62/x
3. Step 3: Cross multiply
   1,215.60x = 1,824.00 × 804.62
4. Step 4: Simplify right side
   1,215.60x = 1,467,628.42
5. Step 5: Solve for x
   x = 1,467,628.42/1,215.60
6. Step 6: Final answer
   x = 1,207.33