Finding the Fourth Proportional to 10,406.53, 14,360.78 and 5,690.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,406.53 : 14,360.78 = 5,690.80 : x
2. Step 2: Convert to fraction form
   10,406.53/14,360.78 = 5,690.80/x
3. Step 3: Cross multiply
   10,406.53x = 14,360.78 × 5,690.80
4. Step 4: Simplify right side
   10,406.53x = 81,724,326.82
5. Step 5: Solve for x
   x = 81,724,326.82/10,406.53
6. Step 6: Final answer
   x = 7,853.18