Finding the Fourth Proportional to 10,085.56, 13,917.24 and 5,836.93

Step by Step Solution

1. Step 1: Write the proportion equation
   10,085.56 : 13,917.24 = 5,836.93 : x
2. Step 2: Convert to fraction form
   10,085.56/13,917.24 = 5,836.93/x
3. Step 3: Cross multiply
   10,085.56x = 13,917.24 × 5,836.93
4. Step 4: Simplify right side
   10,085.56x = 81,233,906.29
5. Step 5: Solve for x
   x = 81,233,906.29/10,085.56
6. Step 6: Final answer
   x = 8,054.48