Finding the Fourth Proportional to 10,085.14, 13,917.04 and 5,835.99

Step by Step Solution

1. Step 1: Write the proportion equation
   10,085.14 : 13,917.04 = 5,835.99 : x
2. Step 2: Convert to fraction form
   10,085.14/13,917.04 = 5,835.99/x
3. Step 3: Cross multiply
   10,085.14x = 13,917.04 × 5,835.99
4. Step 4: Simplify right side
   10,085.14x = 81,219,706.27
5. Step 5: Solve for x
   x = 81,219,706.27/10,085.14
6. Step 6: Final answer
   x = 8,053.40