Finding the Fourth Proportional to 1,685.36, 2,523.72 and 1,409.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,685.36 : 2,523.72 = 1,409.96 : x
2. Step 2: Convert to fraction form
   1,685.36/2,523.72 = 1,409.96/x
3. Step 3: Cross multiply
   1,685.36x = 2,523.72 × 1,409.96
4. Step 4: Simplify right side
   1,685.36x = 3,558,344.25
5. Step 5: Solve for x
   x = 3,558,344.25/1,685.36
6. Step 6: Final answer
   x = 2,111.33