Finding the Fourth Proportional to 9,591.85, 13,238.58 and 5,400.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,591.85 : 13,238.58 = 5,400.10 : x
2. Step 2: Convert to fraction form
   9,591.85/13,238.58 = 5,400.10/x
3. Step 3: Cross multiply
   9,591.85x = 13,238.58 × 5,400.10
4. Step 4: Simplify right side
   9,591.85x = 71,489,655.86
5. Step 5: Solve for x
   x = 71,489,655.86/9,591.85
6. Step 6: Final answer
   x = 7,453.17