Finding the Fourth Proportional to 10,113.10, 13,955.79 and 5,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,113.10 : 13,955.79 = 5,636.50 : x
2. Step 2: Convert to fraction form
   10,113.10/13,955.79 = 5,636.50/x
3. Step 3: Cross multiply
   10,113.10x = 13,955.79 × 5,636.50
4. Step 4: Simplify right side
   10,113.10x = 78,661,810.34
5. Step 5: Solve for x
   x = 78,661,810.34/10,113.10
6. Step 6: Final answer
   x = 7,778.21