Finding the Fourth Proportional to 2,558, 3,834.72 and 1,460.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,558 : 3,834.72 = 1,460.80 : x
2. Step 2: Convert to fraction form
   2,558/3,834.72 = 1,460.80/x
3. Step 3: Cross multiply
   2,558x = 3,834.72 × 1,460.80
4. Step 4: Simplify right side
   2,558x = 5,601,758.98
5. Step 5: Solve for x
   x = 5,601,758.98/2,558
6. Step 6: Final answer
   x = 2,189.90