Finding the Fourth Proportional to 10,113.09, 13,955.85 and 5,637.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,113.09 : 13,955.85 = 5,637.27 : x
2. Step 2: Convert to fraction form
   10,113.09/13,955.85 = 5,637.27/x
3. Step 3: Cross multiply
   10,113.09x = 13,955.85 × 5,637.27
4. Step 4: Simplify right side
   10,113.09x = 78,672,894.53
5. Step 5: Solve for x
   x = 78,672,894.53/10,113.09
6. Step 6: Final answer
   x = 7,779.31