Finding the Fourth Proportional to 10,405.76, 14,360.20 and 5,690.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,405.76 : 14,360.20 = 5,690.39 : x
2. Step 2: Convert to fraction form
   10,405.76/14,360.20 = 5,690.39/x
3. Step 3: Cross multiply
   10,405.76x = 14,360.20 × 5,690.39
4. Step 4: Simplify right side
   10,405.76x = 81,715,052.45
5. Step 5: Solve for x
   x = 81,715,052.45/10,405.76
6. Step 6: Final answer
   x = 7,852.87