Finding the Fourth Proportional to 10,257.60, 14,164.82 and 7,735.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,257.60 : 14,164.82 = 7,735.40 : x
2. Step 2: Convert to fraction form
   10,257.60/14,164.82 = 7,735.40/x
3. Step 3: Cross multiply
   10,257.60x = 14,164.82 × 7,735.40
4. Step 4: Simplify right side
   10,257.60x = 109,570,564.76
5. Step 5: Solve for x
   x = 109,570,564.76/10,257.60
6. Step 6: Final answer
   x = 10,681.89