Finding the Fourth Proportional to 10,107.42, 13,948.12 and 5,631.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,107.42 : 13,948.12 = 5,631.16 : x
2. Step 2: Convert to fraction form
   10,107.42/13,948.12 = 5,631.16/x
3. Step 3: Cross multiply
   10,107.42x = 13,948.12 × 5,631.16
4. Step 4: Simplify right side
   10,107.42x = 78,544,095.42
5. Step 5: Solve for x
   x = 78,544,095.42/10,107.42
6. Step 6: Final answer
   x = 7,770.93