Finding the Fourth Proportional to 10,046, 13,863.50 and 5,630

Step by Step Solution

1. Step 1: Write the proportion equation
   10,046 : 13,863.50 = 5,630 : x
2. Step 2: Convert to fraction form
   10,046/13,863.50 = 5,630/x
3. Step 3: Cross multiply
   10,046x = 13,863.50 × 5,630
4. Step 4: Simplify right side
   10,046x = 78,051,505
5. Step 5: Solve for x
   x = 78,051,505/10,046
6. Step 6: Final answer
   x = 7,769.41