Finding the Fourth Proportional to 10,046.41, 13,863.10 and 5,569.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,046.41 : 13,863.10 = 5,569.78 : x
2. Step 2: Convert to fraction form
   10,046.41/13,863.10 = 5,569.78/x
3. Step 3: Cross multiply
   10,046.41x = 13,863.10 × 5,569.78
4. Step 4: Simplify right side
   10,046.41x = 77,214,417.12
5. Step 5: Solve for x
   x = 77,214,417.12/10,046.41
6. Step 6: Final answer
   x = 7,685.77