Finding the Fourth Proportional to 1,538.75, 2,123.46 and 866.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.75 : 2,123.46 = 866.50 : x
2. Step 2: Convert to fraction form
   1,538.75/2,123.46 = 866.50/x
3. Step 3: Cross multiply
   1,538.75x = 2,123.46 × 866.50
4. Step 4: Simplify right side
   1,538.75x = 1,839,972.78
5. Step 5: Solve for x
   x = 1,839,972.78/1,538.75
6. Step 6: Final answer
   x = 1,195.76