Finding the Fourth Proportional to 1,538.82, 2,123.94 and 876.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.82 : 2,123.94 = 876.03 : x
2. Step 2: Convert to fraction form
   1,538.82/2,123.94 = 876.03/x
3. Step 3: Cross multiply
   1,538.82x = 2,123.94 × 876.03
4. Step 4: Simplify right side
   1,538.82x = 1,860,635.16
5. Step 5: Solve for x
   x = 1,860,635.16/1,538.82
6. Step 6: Final answer
   x = 1,209.13