Finding the Fourth Proportional to 1,561.32, 2,341.89 and 465.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,561.32 : 2,341.89 = 465.71 : x
2. Step 2: Convert to fraction form
   1,561.32/2,341.89 = 465.71/x
3. Step 3: Cross multiply
   1,561.32x = 2,341.89 × 465.71
4. Step 4: Simplify right side
   1,561.32x = 1,090,629.88
5. Step 5: Solve for x
   x = 1,090,629.88/1,561.32
6. Step 6: Final answer
   x = 698.53