Finding the Fourth Proportional to 5,136.42, 7,706.72 and 1,849.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,136.42 : 7,706.72 = 1,849.78 : x
2. Step 2: Convert to fraction form
   5,136.42/7,706.72 = 1,849.78/x
3. Step 3: Cross multiply
   5,136.42x = 7,706.72 × 1,849.78
4. Step 4: Simplify right side
   5,136.42x = 14,255,736.52
5. Step 5: Solve for x
   x = 14,255,736.52/5,136.42
6. Step 6: Final answer
   x = 2,775.42