Finding the Fourth Proportional to 5,741.92, 7,912.16 and 5,432

Step by Step Solution

1. Step 1: Write the proportion equation
   5,741.92 : 7,912.16 = 5,432 : x
2. Step 2: Convert to fraction form
   5,741.92/7,912.16 = 5,432/x
3. Step 3: Cross multiply
   5,741.92x = 7,912.16 × 5,432
4. Step 4: Simplify right side
   5,741.92x = 42,978,853.12
5. Step 5: Solve for x
   x = 42,978,853.12/5,741.92
6. Step 6: Final answer
   x = 7,485.10