Finding the Fourth Proportional to 1,538.47, 2,123.80 and 949.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.47 : 2,123.80 = 949.35 : x
2. Step 2: Convert to fraction form
   1,538.47/2,123.80 = 949.35/x
3. Step 3: Cross multiply
   1,538.47x = 2,123.80 × 949.35
4. Step 4: Simplify right side
   1,538.47x = 2,016,229.53
5. Step 5: Solve for x
   x = 2,016,229.53/1,538.47
6. Step 6: Final answer
   x = 1,310.54