Finding the Fourth Proportional to 10,117.84, 13,962.69 and 5,641.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,117.84 : 13,962.69 = 5,641.88 : x
2. Step 2: Convert to fraction form
   10,117.84/13,962.69 = 5,641.88/x
3. Step 3: Cross multiply
   10,117.84x = 13,962.69 × 5,641.88
4. Step 4: Simplify right side
   10,117.84x = 78,775,821.46
5. Step 5: Solve for x
   x = 78,775,821.46/10,117.84
6. Step 6: Final answer
   x = 7,785.83