Finding the Fourth Proportional to 1,538.62, 2,123.29 and 866.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.62 : 2,123.29 = 866.37 : x
2. Step 2: Convert to fraction form
   1,538.62/2,123.29 = 866.37/x
3. Step 3: Cross multiply
   1,538.62x = 2,123.29 × 866.37
4. Step 4: Simplify right side
   1,538.62x = 1,839,554.76
5. Step 5: Solve for x
   x = 1,839,554.76/1,538.62
6. Step 6: Final answer
   x = 1,195.59