Finding the Fourth Proportional to 5,724.32, 7,840.35 and 5,388.08

Step by Step Solution

1. Step 1: Write the proportion equation
   5,724.32 : 7,840.35 = 5,388.08 : x
2. Step 2: Convert to fraction form
   5,724.32/7,840.35 = 5,388.08/x
3. Step 3: Cross multiply
   5,724.32x = 7,840.35 × 5,388.08
4. Step 4: Simplify right side
   5,724.32x = 42,244,393.83
5. Step 5: Solve for x
   x = 42,244,393.83/5,724.32
6. Step 6: Final answer
   x = 7,379.82