Finding the Fourth Proportional to 10,094.13, 13,931.91 and 5,845.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,094.13 : 13,931.91 = 5,845.89 : x
2. Step 2: Convert to fraction form
   10,094.13/13,931.91 = 5,845.89/x
3. Step 3: Cross multiply
   10,094.13x = 13,931.91 × 5,845.89
4. Step 4: Simplify right side
   10,094.13x = 81,444,413.35
5. Step 5: Solve for x
   x = 81,444,413.35/10,094.13
6. Step 6: Final answer
   x = 8,068.49