Finding the Fourth Proportional to 5,475.91, 8,161.84 and 5,164.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,475.91 : 8,161.84 = 5,164.56 : x
2. Step 2: Convert to fraction form
   5,475.91/8,161.84 = 5,164.56/x
3. Step 3: Cross multiply
   5,475.91x = 8,161.84 × 5,164.56
4. Step 4: Simplify right side
   5,475.91x = 42,152,312.39
5. Step 5: Solve for x
   x = 42,152,312.39/5,475.91
6. Step 6: Final answer
   x = 7,697.77