Finding the Fourth Proportional to 5,693.76, 7,853.80 and 3,922.32

Step by Step Solution

1. Step 1: Write the proportion equation
   5,693.76 : 7,853.80 = 3,922.32 : x
2. Step 2: Convert to fraction form
   5,693.76/7,853.80 = 3,922.32/x
3. Step 3: Cross multiply
   5,693.76x = 7,853.80 × 3,922.32
4. Step 4: Simplify right side
   5,693.76x = 30,805,116.82
5. Step 5: Solve for x
   x = 30,805,116.82/5,693.76
6. Step 6: Final answer
   x = 5,410.33