Finding the Fourth Proportional to 2,575.25, 3,864.12 and 1,405.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,575.25 : 3,864.12 = 1,405.20 : x
2. Step 2: Convert to fraction form
   2,575.25/3,864.12 = 1,405.20/x
3. Step 3: Cross multiply
   2,575.25x = 3,864.12 × 1,405.20
4. Step 4: Simplify right side
   2,575.25x = 5,429,861.42
5. Step 5: Solve for x
   x = 5,429,861.42/2,575.25
6. Step 6: Final answer
   x = 2,108.48