Finding the Fourth Proportional to 10,046.47, 13,863.57 and 5,569.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,046.47 : 13,863.57 = 5,569.96 : x
2. Step 2: Convert to fraction form
   10,046.47/13,863.57 = 5,569.96/x
3. Step 3: Cross multiply
   10,046.47x = 13,863.57 × 5,569.96
4. Step 4: Simplify right side
   10,046.47x = 77,219,530.36
5. Step 5: Solve for x
   x = 77,219,530.36/10,046.47
6. Step 6: Final answer
   x = 7,686.24