Finding the Fourth Proportional to 1,538.65, 2,123.06 and 1,014.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.65 : 2,123.06 = 1,014.38 : x
2. Step 2: Convert to fraction form
   1,538.65/2,123.06 = 1,014.38/x
3. Step 3: Cross multiply
   1,538.65x = 2,123.06 × 1,014.38
4. Step 4: Simplify right side
   1,538.65x = 2,153,581.52
5. Step 5: Solve for x
   x = 2,153,581.52/1,538.65
6. Step 6: Final answer
   x = 1,399.66