Finding the Fourth Proportional to 10,422.68, 14,383.50 and 5,706.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.68 : 14,383.50 = 5,706.86 : x
2. Step 2: Convert to fraction form
   10,422.68/14,383.50 = 5,706.86/x
3. Step 3: Cross multiply
   10,422.68x = 14,383.50 × 5,706.86
4. Step 4: Simplify right side
   10,422.68x = 82,084,620.81
5. Step 5: Solve for x
   x = 82,084,620.81/10,422.68
6. Step 6: Final answer
   x = 7,875.58