Finding the Fourth Proportional to 10,282.34, 14,188.10 and 5,806.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282.34 : 14,188.10 = 5,806.00 : x
2. Step 2: Convert to fraction form
   10,282.34/14,188.10 = 5,806.00/x
3. Step 3: Cross multiply
   10,282.34x = 14,188.10 × 5,806.00
4. Step 4: Simplify right side
   10,282.34x = 82,376,008.63
5. Step 5: Solve for x
   x = 82,376,008.63/10,282.34
6. Step 6: Final answer
   x = 8,011.41