Finding the Fourth Proportional to 9,814.29, 13,543.53 and 5,338.01

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.29 : 13,543.53 = 5,338.01 : x
2. Step 2: Convert to fraction form
   9,814.29/13,543.53 = 5,338.01/x
3. Step 3: Cross multiply
   9,814.29x = 13,543.53 × 5,338.01
4. Step 4: Simplify right side
   9,814.29x = 72,295,430.86
5. Step 5: Solve for x
   x = 72,295,430.86/9,814.29
6. Step 6: Final answer
   x = 7,366.34