Finding the Fourth Proportional to 9,384.75, 14,077.17 and 2,459.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,384.75 : 14,077.17 = 2,459.25 : x
2. Step 2: Convert to fraction form
   9,384.75/14,077.17 = 2,459.25/x
3. Step 3: Cross multiply
   9,384.75x = 14,077.17 × 2,459.25
4. Step 4: Simplify right side
   9,384.75x = 34,619,280.32
5. Step 5: Solve for x
   x = 34,619,280.32/9,384.75
6. Step 6: Final answer
   x = 3,688.89