Finding the Fourth Proportional to 10,093.53, 13,930.86 and 5,843.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,093.53 : 13,930.86 = 5,843.88 : x
2. Step 2: Convert to fraction form
   10,093.53/13,930.86 = 5,843.88/x
3. Step 3: Cross multiply
   10,093.53x = 13,930.86 × 5,843.88
4. Step 4: Simplify right side
   10,093.53x = 81,410,274.14
5. Step 5: Solve for x
   x = 81,410,274.14/10,093.53
6. Step 6: Final answer
   x = 8,065.59