Finding the Fourth Proportional to 10,004.92, 13,799.64 and 7,642.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004.92 : 13,799.64 = 7,642.96 : x
2. Step 2: Convert to fraction form
   10,004.92/13,799.64 = 7,642.96/x
3. Step 3: Cross multiply
   10,004.92x = 13,799.64 × 7,642.96
4. Step 4: Simplify right side
   10,004.92x = 105,470,096.53
5. Step 5: Solve for x
   x = 105,470,096.53/10,004.92
6. Step 6: Final answer
   x = 10,541.82