Finding the Fourth Proportional to 5,438.00, 7,501.55 and 4,109.40

Step by Step Solution

1. Step 1: Write the proportion equation
   5,438.00 : 7,501.55 = 4,109.40 : x
2. Step 2: Convert to fraction form
   5,438.00/7,501.55 = 4,109.40/x
3. Step 3: Cross multiply
   5,438.00x = 7,501.55 × 4,109.40
4. Step 4: Simplify right side
   5,438.00x = 30,826,849.02
5. Step 5: Solve for x
   x = 30,826,849.02/5,438.00
6. Step 6: Final answer
   x = 5,668.78