Finding the Fourth Proportional to 9,814.32, 13,543.86 and 5,338.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.32 : 13,543.86 = 5,338.18 : x
2. Step 2: Convert to fraction form
   9,814.32/13,543.86 = 5,338.18/x
3. Step 3: Cross multiply
   9,814.32x = 13,543.86 × 5,338.18
4. Step 4: Simplify right side
   9,814.32x = 72,299,562.57
5. Step 5: Solve for x
   x = 72,299,562.57/9,814.32
6. Step 6: Final answer
   x = 7,366.74