Finding the Fourth Proportional to 1,533.47, 2,301.34 and 1,123.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.47 : 2,301.34 = 1,123.65 : x
2. Step 2: Convert to fraction form
   1,533.47/2,301.34 = 1,123.65/x
3. Step 3: Cross multiply
   1,533.47x = 2,301.34 × 1,123.65
4. Step 4: Simplify right side
   1,533.47x = 2,585,900.69
5. Step 5: Solve for x
   x = 2,585,900.69/1,533.47
6. Step 6: Final answer
   x = 1,686.31