Finding the Fourth Proportional to 1,538.96, 2,123.59 and 866.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.96 : 2,123.59 = 866.63 : x
2. Step 2: Convert to fraction form
   1,538.96/2,123.59 = 866.63/x
3. Step 3: Cross multiply
   1,538.96x = 2,123.59 × 866.63
4. Step 4: Simplify right side
   1,538.96x = 1,840,369.94
5. Step 5: Solve for x
   x = 1,840,369.94/1,538.96
6. Step 6: Final answer
   x = 1,195.86