Finding the Fourth Proportional to 1,538.56, 2,123.22 and 875.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.56 : 2,123.22 = 875.42 : x
2. Step 2: Convert to fraction form
   1,538.56/2,123.22 = 875.42/x
3. Step 3: Cross multiply
   1,538.56x = 2,123.22 × 875.42
4. Step 4: Simplify right side
   1,538.56x = 1,858,709.25
5. Step 5: Solve for x
   x = 1,858,709.25/1,538.56
6. Step 6: Final answer
   x = 1,208.08