Finding the Fourth Proportional to 10,094.63, 13,932.60 and 5,846.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,094.63 : 13,932.60 = 5,846.39 : x
2. Step 2: Convert to fraction form
   10,094.63/13,932.60 = 5,846.39/x
3. Step 3: Cross multiply
   10,094.63x = 13,932.60 × 5,846.39
4. Step 4: Simplify right side
   10,094.63x = 81,455,413.31
5. Step 5: Solve for x
   x = 81,455,413.31/10,094.63
6. Step 6: Final answer
   x = 8,069.18