Finding the Fourth Proportional to 10,110.50, 13,953.06 and 5,634.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,110.50 : 13,953.06 = 5,634.09 : x
2. Step 2: Convert to fraction form
   10,110.50/13,953.06 = 5,634.09/x
3. Step 3: Cross multiply
   10,110.50x = 13,953.06 × 5,634.09
4. Step 4: Simplify right side
   10,110.50x = 78,612,795.82
5. Step 5: Solve for x
   x = 78,612,795.82/10,110.50
6. Step 6: Final answer
   x = 7,775.36