Finding the Fourth Proportional to 10,106.89, 13,947.06 and 5,631.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.89 : 13,947.06 = 5,631.13 : x
2. Step 2: Convert to fraction form
   10,106.89/13,947.06 = 5,631.13/x
3. Step 3: Cross multiply
   10,106.89x = 13,947.06 × 5,631.13
4. Step 4: Simplify right side
   10,106.89x = 78,537,638.24
5. Step 5: Solve for x
   x = 78,537,638.24/10,106.89
6. Step 6: Final answer
   x = 7,770.71