Finding the Fourth Proportional to 1,538.46, 2,123.09 and 875.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.46 : 2,123.09 = 875.31 : x
2. Step 2: Convert to fraction form
   1,538.46/2,123.09 = 875.31/x
3. Step 3: Cross multiply
   1,538.46x = 2,123.09 × 875.31
4. Step 4: Simplify right side
   1,538.46x = 1,858,357.53
5. Step 5: Solve for x
   x = 1,858,357.53/1,538.46
6. Step 6: Final answer
   x = 1,207.93