Finding the Fourth Proportional to 5,726.06, 7,842.75 and 5,389.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,726.06 : 7,842.75 = 5,389.82 : x
2. Step 2: Convert to fraction form
   5,726.06/7,842.75 = 5,389.82/x
3. Step 3: Cross multiply
   5,726.06x = 7,842.75 × 5,389.82
4. Step 4: Simplify right side
   5,726.06x = 42,271,010.81
5. Step 5: Solve for x
   x = 42,271,010.81/5,726.06
6. Step 6: Final answer
   x = 7,382.22