Finding the Fourth Proportional to 1,538.65, 2,123.38 and 875.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.65 : 2,123.38 = 875.48 : x
2. Step 2: Convert to fraction form
   1,538.65/2,123.38 = 875.48/x
3. Step 3: Cross multiply
   1,538.65x = 2,123.38 × 875.48
4. Step 4: Simplify right side
   1,538.65x = 1,858,986.96
5. Step 5: Solve for x
   x = 1,858,986.96/1,538.65
6. Step 6: Final answer
   x = 1,208.20