Finding the Fourth Proportional to 10,423.40, 14,383.86 and 5,707.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,423.40 : 14,383.86 = 5,707.60 : x
2. Step 2: Convert to fraction form
   10,423.40/14,383.86 = 5,707.60/x
3. Step 3: Cross multiply
   10,423.40x = 14,383.86 × 5,707.60
4. Step 4: Simplify right side
   10,423.40x = 82,097,319.34
5. Step 5: Solve for x
   x = 82,097,319.34/10,423.40
6. Step 6: Final answer
   x = 7,876.25