Finding the Fourth Proportional to 1,938.17, 2,906.31 and 964.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,938.17 : 2,906.31 = 964.82 : x
2. Step 2: Convert to fraction form
   1,938.17/2,906.31 = 964.82/x
3. Step 3: Cross multiply
   1,938.17x = 2,906.31 × 964.82
4. Step 4: Simplify right side
   1,938.17x = 2,804,066.01
5. Step 5: Solve for x
   x = 2,804,066.01/1,938.17
6. Step 6: Final answer
   x = 1,446.76