Finding the Fourth Proportional to 6,141.74, 8,470.39 and 5,189.32

Step by Step Solution

1. Step 1: Write the proportion equation
   6,141.74 : 8,470.39 = 5,189.32 : x
2. Step 2: Convert to fraction form
   6,141.74/8,470.39 = 5,189.32/x
3. Step 3: Cross multiply
   6,141.74x = 8,470.39 × 5,189.32
4. Step 4: Simplify right side
   6,141.74x = 43,955,495.94
5. Step 5: Solve for x
   x = 43,955,495.94/6,141.74
6. Step 6: Final answer
   x = 7,156.85