Finding the Fourth Proportional to 5,096.57, 7,642.59 and 1,765.13

Step by Step Solution

1. Step 1: Write the proportion equation
   5,096.57 : 7,642.59 = 1,765.13 : x
2. Step 2: Convert to fraction form
   5,096.57/7,642.59 = 1,765.13/x
3. Step 3: Cross multiply
   5,096.57x = 7,642.59 × 1,765.13
4. Step 4: Simplify right side
   5,096.57x = 13,490,164.89
5. Step 5: Solve for x
   x = 13,490,164.89/5,096.57
6. Step 6: Final answer
   x = 2,646.91