Finding the Fourth Proportional to 9,642.27, 14,471.63 and 3,802.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,642.27 : 14,471.63 = 3,802.98 : x
2. Step 2: Convert to fraction form
   9,642.27/14,471.63 = 3,802.98/x
3. Step 3: Cross multiply
   9,642.27x = 14,471.63 × 3,802.98
4. Step 4: Simplify right side
   9,642.27x = 55,035,368.97
5. Step 5: Solve for x
   x = 55,035,368.97/9,642.27
6. Step 6: Final answer
   x = 5,707.72