Finding the Fourth Proportional to 10,077.48, 13,906.80 and 5,601.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.48 : 13,906.80 = 5,601.06 : x
2. Step 2: Convert to fraction form
   10,077.48/13,906.80 = 5,601.06/x
3. Step 3: Cross multiply
   10,077.48x = 13,906.80 × 5,601.06
4. Step 4: Simplify right side
   10,077.48x = 77,892,821.21
5. Step 5: Solve for x
   x = 77,892,821.21/10,077.48
6. Step 6: Final answer
   x = 7,729.39