Finding the Fourth Proportional to 9,814.00, 13,543.18 and 5,337.65

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.00 : 13,543.18 = 5,337.65 : x
2. Step 2: Convert to fraction form
   9,814.00/13,543.18 = 5,337.65/x
3. Step 3: Cross multiply
   9,814.00x = 13,543.18 × 5,337.65
4. Step 4: Simplify right side
   9,814.00x = 72,288,768.07
5. Step 5: Solve for x
   x = 72,288,768.07/9,814.00
6. Step 6: Final answer
   x = 7,365.89