Finding the Fourth Proportional to 5,709.16, 7,884.01 and 5,398.52

Step by Step Solution

1. Step 1: Write the proportion equation
   5,709.16 : 7,884.01 = 5,398.52 : x
2. Step 2: Convert to fraction form
   5,709.16/7,884.01 = 5,398.52/x
3. Step 3: Cross multiply
   5,709.16x = 7,884.01 × 5,398.52
4. Step 4: Simplify right side
   5,709.16x = 42,561,985.67
5. Step 5: Solve for x
   x = 42,561,985.67/5,709.16
6. Step 6: Final answer
   x = 7,455.03