Finding the Fourth Proportional to 10,422.63, 14,383.23 and 5,706.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.63 : 14,383.23 = 5,706.91 : x
2. Step 2: Convert to fraction form
   10,422.63/14,383.23 = 5,706.91/x
3. Step 3: Cross multiply
   10,422.63x = 14,383.23 × 5,706.91
4. Step 4: Simplify right side
   10,422.63x = 82,083,799.12
5. Step 5: Solve for x
   x = 82,083,799.12/10,422.63
6. Step 6: Final answer
   x = 7,875.54