Finding the Fourth Proportional to 5,814.62, 7,916.82 and 5,796.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,814.62 : 7,916.82 = 5,796.16 : x
2. Step 2: Convert to fraction form
   5,814.62/7,916.82 = 5,796.16/x
3. Step 3: Cross multiply
   5,814.62x = 7,916.82 × 5,796.16
4. Step 4: Simplify right side
   5,814.62x = 45,887,155.41
5. Step 5: Solve for x
   x = 45,887,155.41/5,814.62
6. Step 6: Final answer
   x = 7,891.69