Finding the Fourth Proportional to 10,406.21, 14,360.49 and 5,690.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,406.21 : 14,360.49 = 5,690.52 : x
2. Step 2: Convert to fraction form
   10,406.21/14,360.49 = 5,690.52/x
3. Step 3: Cross multiply
   10,406.21x = 14,360.49 × 5,690.52
4. Step 4: Simplify right side
   10,406.21x = 81,718,655.55
5. Step 5: Solve for x
   x = 81,718,655.55/10,406.21
6. Step 6: Final answer
   x = 7,852.88