Finding the Fourth Proportional to 10,107.83, 13,948.76 and 5,631.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,107.83 : 13,948.76 = 5,631.53 : x
2. Step 2: Convert to fraction form
   10,107.83/13,948.76 = 5,631.53/x
3. Step 3: Cross multiply
   10,107.83x = 13,948.76 × 5,631.53
4. Step 4: Simplify right side
   10,107.83x = 78,552,762.50
5. Step 5: Solve for x
   x = 78,552,762.50/10,107.83
6. Step 6: Final answer
   x = 7,771.48