Finding the Fourth Proportional to 7,814.82, 10,777.43 and 5,164.91

Step by Step Solution

1. Step 1: Write the proportion equation
   7,814.82 : 10,777.43 = 5,164.91 : x
2. Step 2: Convert to fraction form
   7,814.82/10,777.43 = 5,164.91/x
3. Step 3: Cross multiply
   7,814.82x = 10,777.43 × 5,164.91
4. Step 4: Simplify right side
   7,814.82x = 55,664,376.27
5. Step 5: Solve for x
   x = 55,664,376.27/7,814.82
6. Step 6: Final answer
   x = 7,122.92