Finding the Fourth Proportional to 9,814.07, 13,543.30 and 5,337.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.07 : 13,543.30 = 5,337.72 : x
2. Step 2: Convert to fraction form
   9,814.07/13,543.30 = 5,337.72/x
3. Step 3: Cross multiply
   9,814.07x = 13,543.30 × 5,337.72
4. Step 4: Simplify right side
   9,814.07x = 72,290,400.74
5. Step 5: Solve for x
   x = 72,290,400.74/9,814.07
6. Step 6: Final answer
   x = 7,366.00