Finding the Fourth Proportional to 2,505.96, 3,759.84 and 1,466.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.96 : 3,759.84 = 1,466.37 : x
2. Step 2: Convert to fraction form
   2,505.96/3,759.84 = 1,466.37/x
3. Step 3: Cross multiply
   2,505.96x = 3,759.84 × 1,466.37
4. Step 4: Simplify right side
   2,505.96x = 5,513,316.58
5. Step 5: Solve for x
   x = 5,513,316.58/2,505.96
6. Step 6: Final answer
   x = 2,200.08