Finding the Fourth Proportional to 9,429.60, 14,139.27 and 3,802.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,429.60 : 14,139.27 = 3,802.26 : x
2. Step 2: Convert to fraction form
   9,429.60/14,139.27 = 3,802.26/x
3. Step 3: Cross multiply
   9,429.60x = 14,139.27 × 3,802.26
4. Step 4: Simplify right side
   9,429.60x = 53,761,180.75
5. Step 5: Solve for x
   x = 53,761,180.75/9,429.60
6. Step 6: Final answer
   x = 5,701.32