Finding the Fourth Proportional to 5,096.31, 7,642.86 and 1,976.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,096.31 : 7,642.86 = 1,976.10 : x
2. Step 2: Convert to fraction form
   5,096.31/7,642.86 = 1,976.10/x
3. Step 3: Cross multiply
   5,096.31x = 7,642.86 × 1,976.10
4. Step 4: Simplify right side
   5,096.31x = 15,103,055.65
5. Step 5: Solve for x
   x = 15,103,055.65/5,096.31
6. Step 6: Final answer
   x = 2,963.53