Finding the Fourth Proportional to 10,117.77, 13,962.47 and 5,641.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,117.77 : 13,962.47 = 5,641.58 : x
2. Step 2: Convert to fraction form
   10,117.77/13,962.47 = 5,641.58/x
3. Step 3: Cross multiply
   10,117.77x = 13,962.47 × 5,641.58
4. Step 4: Simplify right side
   10,117.77x = 78,770,293.48
5. Step 5: Solve for x
   x = 78,770,293.48/10,117.77
6. Step 6: Final answer
   x = 7,785.34