Finding the Fourth Proportional to 2,559.87, 3,834.63 and 1,461.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,559.87 : 3,834.63 = 1,461.06 : x
2. Step 2: Convert to fraction form
   2,559.87/3,834.63 = 1,461.06/x
3. Step 3: Cross multiply
   2,559.87x = 3,834.63 × 1,461.06
4. Step 4: Simplify right side
   2,559.87x = 5,602,624.51
5. Step 5: Solve for x
   x = 5,602,624.51/2,559.87
6. Step 6: Final answer
   x = 2,188.64