Finding the Fourth Proportional to 1,538.43, 2,123.13 and 875.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.43 : 2,123.13 = 875.34 : x
2. Step 2: Convert to fraction form
   1,538.43/2,123.13 = 875.34/x
3. Step 3: Cross multiply
   1,538.43x = 2,123.13 × 875.34
4. Step 4: Simplify right side
   1,538.43x = 1,858,460.61
5. Step 5: Solve for x
   x = 1,858,460.61/1,538.43
6. Step 6: Final answer
   x = 1,208.02