Finding the Fourth Proportional to 6,113.14, 8,429.86 and 5,438.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,113.14 : 8,429.86 = 5,438.82 : x
2. Step 2: Convert to fraction form
   6,113.14/8,429.86 = 5,438.82/x
3. Step 3: Cross multiply
   6,113.14x = 8,429.86 × 5,438.82
4. Step 4: Simplify right side
   6,113.14x = 45,848,491.17
5. Step 5: Solve for x
   x = 45,848,491.17/6,113.14
6. Step 6: Final answer
   x = 7,499.99