Finding the Fourth Proportional to 10,117.56, 13,961.52 and 5,641.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,117.56 : 13,961.52 = 5,641.12 : x
2. Step 2: Convert to fraction form
   10,117.56/13,961.52 = 5,641.12/x
3. Step 3: Cross multiply
   10,117.56x = 13,961.52 × 5,641.12
4. Step 4: Simplify right side
   10,117.56x = 78,758,609.70
5. Step 5: Solve for x
   x = 78,758,609.70/10,117.56
6. Step 6: Final answer
   x = 7,784.35