Finding the Fourth Proportional to 10,354.23, 14,257.20 and 7,805.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.23 : 14,257.20 = 7,805.70 : x
2. Step 2: Convert to fraction form
   10,354.23/14,257.20 = 7,805.70/x
3. Step 3: Cross multiply
   10,354.23x = 14,257.20 × 7,805.70
4. Step 4: Simplify right side
   10,354.23x = 111,287,426.04
5. Step 5: Solve for x
   x = 111,287,426.04/10,354.23
6. Step 6: Final answer
   x = 10,748.02