Finding the Fourth Proportional to 1,973.56, 2,958.72 and 820.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,973.56 : 2,958.72 = 820.12 : x
2. Step 2: Convert to fraction form
   1,973.56/2,958.72 = 820.12/x
3. Step 3: Cross multiply
   1,973.56x = 2,958.72 × 820.12
4. Step 4: Simplify right side
   1,973.56x = 2,426,505.45
5. Step 5: Solve for x
   x = 2,426,505.45/1,973.56
6. Step 6: Final answer
   x = 1,229.51