Finding the Fourth Proportional to 5,906.32, 8,146.38 and 5,158.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,906.32 : 8,146.38 = 5,158.69 : x
2. Step 2: Convert to fraction form
   5,906.32/8,146.38 = 5,158.69/x
3. Step 3: Cross multiply
   5,906.32x = 8,146.38 × 5,158.69
4. Step 4: Simplify right side
   5,906.32x = 42,024,649.04
5. Step 5: Solve for x
   x = 42,024,649.04/5,906.32
6. Step 6: Final answer
   x = 7,115.20