Finding the Fourth Proportional to 10,405.75, 14,359.94 and 5,690.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,405.75 : 14,359.94 = 5,690.02 : x
2. Step 2: Convert to fraction form
   10,405.75/14,359.94 = 5,690.02/x
3. Step 3: Cross multiply
   10,405.75x = 14,359.94 × 5,690.02
4. Step 4: Simplify right side
   10,405.75x = 81,708,345.80
5. Step 5: Solve for x
   x = 81,708,345.80/10,405.75
6. Step 6: Final answer
   x = 7,852.23