Finding the Fourth Proportional to 10,048, 13,866.24 and 5,632

Step by Step Solution

1. Step 1: Write the proportion equation
   10,048 : 13,866.24 = 5,632 : x
2. Step 2: Convert to fraction form
   10,048/13,866.24 = 5,632/x
3. Step 3: Cross multiply
   10,048x = 13,866.24 × 5,632
4. Step 4: Simplify right side
   10,048x = 78,094,663.68
5. Step 5: Solve for x
   x = 78,094,663.68/10,048
6. Step 6: Final answer
   x = 7,772.16