Finding the Fourth Proportional to 1,538.84, 2,123.82 and 949.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.84 : 2,123.82 = 949.50 : x
2. Step 2: Convert to fraction form
   1,538.84/2,123.82 = 949.50/x
3. Step 3: Cross multiply
   1,538.84x = 2,123.82 × 949.50
4. Step 4: Simplify right side
   1,538.84x = 2,016,567.09
5. Step 5: Solve for x
   x = 2,016,567.09/1,538.84
6. Step 6: Final answer
   x = 1,310.44