Finding the Fourth Proportional to 1,970.82, 2,955.98 and 996.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,970.82 : 2,955.98 = 996.50 : x
2. Step 2: Convert to fraction form
   1,970.82/2,955.98 = 996.50/x
3. Step 3: Cross multiply
   1,970.82x = 2,955.98 × 996.50
4. Step 4: Simplify right side
   1,970.82x = 2,945,634.07
5. Step 5: Solve for x
   x = 2,945,634.07/1,970.82
6. Step 6: Final answer
   x = 1,494.62