Finding the Fourth Proportional to 10,107.89, 13,948.44 and 5,632.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,107.89 : 13,948.44 = 5,632.13 : x
2. Step 2: Convert to fraction form
   10,107.89/13,948.44 = 5,632.13/x
3. Step 3: Cross multiply
   10,107.89x = 13,948.44 × 5,632.13
4. Step 4: Simplify right side
   10,107.89x = 78,559,357.64
5. Step 5: Solve for x
   x = 78,559,357.64/10,107.89
6. Step 6: Final answer
   x = 7,772.09