Finding the Fourth Proportional to 1,123.51, 1,686.04 and 465.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.51 : 1,686.04 = 465.39 : x
2. Step 2: Convert to fraction form
   1,123.51/1,686.04 = 465.39/x
3. Step 3: Cross multiply
   1,123.51x = 1,686.04 × 465.39
4. Step 4: Simplify right side
   1,123.51x = 784,656.56
5. Step 5: Solve for x
   x = 784,656.56/1,123.51
6. Step 6: Final answer
   x = 698.40