Finding the Fourth Proportional to 10,111.69, 13,953.63 and 5,634.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111.69 : 13,953.63 = 5,634.60 : x
2. Step 2: Convert to fraction form
   10,111.69/13,953.63 = 5,634.60/x
3. Step 3: Cross multiply
   10,111.69x = 13,953.63 × 5,634.60
4. Step 4: Simplify right side
   10,111.69x = 78,623,127.50
5. Step 5: Solve for x
   x = 78,623,127.50/10,111.69
6. Step 6: Final answer
   x = 7,775.47