Finding the Fourth Proportional to 2,566.84, 3,847.50 and 1,265.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.84 : 3,847.50 = 1,265.56 : x
2. Step 2: Convert to fraction form
   2,566.84/3,847.50 = 1,265.56/x
3. Step 3: Cross multiply
   2,566.84x = 3,847.50 × 1,265.56
4. Step 4: Simplify right side
   2,566.84x = 4,869,242.10
5. Step 5: Solve for x
   x = 4,869,242.10/2,566.84
6. Step 6: Final answer
   x = 1,896.98