Finding the Fourth Proportional to 10,107.82, 13,948.50 and 5,631.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,107.82 : 13,948.50 = 5,631.30 : x
2. Step 2: Convert to fraction form
   10,107.82/13,948.50 = 5,631.30/x
3. Step 3: Cross multiply
   10,107.82x = 13,948.50 × 5,631.30
4. Step 4: Simplify right side
   10,107.82x = 78,548,209.17
5. Step 5: Solve for x
   x = 78,548,209.17/10,107.82
6. Step 6: Final answer
   x = 7,771.03