Finding the Fourth Proportional to 1,538.89, 2,123.59 and 942.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.89 : 2,123.59 = 942.38 : x
2. Step 2: Convert to fraction form
   1,538.89/2,123.59 = 942.38/x
3. Step 3: Cross multiply
   1,538.89x = 2,123.59 × 942.38
4. Step 4: Simplify right side
   1,538.89x = 2,001,228.74
5. Step 5: Solve for x
   x = 2,001,228.74/1,538.89
6. Step 6: Final answer
   x = 1,300.44