Finding the Fourth Proportional to 2,558.50, 3,830.90 and 1,461.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,558.50 : 3,830.90 = 1,461.35 : x
2. Step 2: Convert to fraction form
   2,558.50/3,830.90 = 1,461.35/x
3. Step 3: Cross multiply
   2,558.50x = 3,830.90 × 1,461.35
4. Step 4: Simplify right side
   2,558.50x = 5,598,298.95
5. Step 5: Solve for x
   x = 5,598,298.95/2,558.50
6. Step 6: Final answer
   x = 2,188.12