Finding the Fourth Proportional to 1,538.97, 2,123.89 and 875.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.97 : 2,123.89 = 875.78 : x
2. Step 2: Convert to fraction form
   1,538.97/2,123.89 = 875.78/x
3. Step 3: Cross multiply
   1,538.97x = 2,123.89 × 875.78
4. Step 4: Simplify right side
   1,538.97x = 1,860,060.38
5. Step 5: Solve for x
   x = 1,860,060.38/1,538.97
6. Step 6: Final answer
   x = 1,208.64