Finding the Fourth Proportional to 10,166.34, 14,029.61 and 5,690.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,166.34 : 14,029.61 = 5,690.18 : x
2. Step 2: Convert to fraction form
   10,166.34/14,029.61 = 5,690.18/x
3. Step 3: Cross multiply
   10,166.34x = 14,029.61 × 5,690.18
4. Step 4: Simplify right side
   10,166.34x = 79,831,012.85
5. Step 5: Solve for x
   x = 79,831,012.85/10,166.34
6. Step 6: Final answer
   x = 7,852.48