Finding the Fourth Proportional to 1,538.89, 2,123.65 and 875.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.89 : 2,123.65 = 875.73 : x
2. Step 2: Convert to fraction form
   1,538.89/2,123.65 = 875.73/x
3. Step 3: Cross multiply
   1,538.89x = 2,123.65 × 875.73
4. Step 4: Simplify right side
   1,538.89x = 1,859,744.01
5. Step 5: Solve for x
   x = 1,859,744.01/1,538.89
6. Step 6: Final answer
   x = 1,208.50