Finding the Fourth Proportional to 5,096.60, 7,648.16 and 2,323.55

Step by Step Solution

1. Step 1: Write the proportion equation
   5,096.60 : 7,648.16 = 2,323.55 : x
2. Step 2: Convert to fraction form
   5,096.60/7,648.16 = 2,323.55/x
3. Step 3: Cross multiply
   5,096.60x = 7,648.16 × 2,323.55
4. Step 4: Simplify right side
   5,096.60x = 17,770,889.67
5. Step 5: Solve for x
   x = 17,770,889.67/5,096.60
6. Step 6: Final answer
   x = 3,486.81