Finding the Fourth Proportional to 2,525.56, 3,784.66 and 1,424.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,525.56 : 3,784.66 = 1,424.30 : x
2. Step 2: Convert to fraction form
   2,525.56/3,784.66 = 1,424.30/x
3. Step 3: Cross multiply
   2,525.56x = 3,784.66 × 1,424.30
4. Step 4: Simplify right side
   2,525.56x = 5,390,468.75
5. Step 5: Solve for x
   x = 5,390,468.75/2,525.56
6. Step 6: Final answer
   x = 2,134.37