Finding the Fourth Proportional to 10,205.02, 14,085.83 and 5,957.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205.02 : 14,085.83 = 5,957.07 : x
2. Step 2: Convert to fraction form
   10,205.02/14,085.83 = 5,957.07/x
3. Step 3: Cross multiply
   10,205.02x = 14,085.83 × 5,957.07
4. Step 4: Simplify right side
   10,205.02x = 83,910,275.32
5. Step 5: Solve for x
   x = 83,910,275.32/10,205.02
6. Step 6: Final answer
   x = 8,222.45