Finding the Fourth Proportional to 1,976.02, 2,963.42 and 821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,976.02 : 2,963.42 = 821.50 : x
2. Step 2: Convert to fraction form
   1,976.02/2,963.42 = 821.50/x
3. Step 3: Cross multiply
   1,976.02x = 2,963.42 × 821.50
4. Step 4: Simplify right side
   1,976.02x = 2,434,449.53
5. Step 5: Solve for x
   x = 2,434,449.53/1,976.02
6. Step 6: Final answer
   x = 1,232.00