Finding the Fourth Proportional to 5,842.29, 8,019.47 and 5,164.32

Step by Step Solution

1. Step 1: Write the proportion equation
   5,842.29 : 8,019.47 = 5,164.32 : x
2. Step 2: Convert to fraction form
   5,842.29/8,019.47 = 5,164.32/x
3. Step 3: Cross multiply
   5,842.29x = 8,019.47 × 5,164.32
4. Step 4: Simplify right side
   5,842.29x = 41,415,083.49
5. Step 5: Solve for x
   x = 41,415,083.49/5,842.29
6. Step 6: Final answer
   x = 7,088.84