Finding the Fourth Proportional to 2,922.96, 4,384.50 and 975.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,922.96 : 4,384.50 = 975.18 : x
2. Step 2: Convert to fraction form
   2,922.96/4,384.50 = 975.18/x
3. Step 3: Cross multiply
   2,922.96x = 4,384.50 × 975.18
4. Step 4: Simplify right side
   2,922.96x = 4,275,676.71
5. Step 5: Solve for x
   x = 4,275,676.71/2,922.96
6. Step 6: Final answer
   x = 1,462.79