Finding the Fourth Proportional to 10,077.81, 13,906.96 and 5,601.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.81 : 13,906.96 = 5,601.63 : x
2. Step 2: Convert to fraction form
   10,077.81/13,906.96 = 5,601.63/x
3. Step 3: Cross multiply
   10,077.81x = 13,906.96 × 5,601.63
4. Step 4: Simplify right side
   10,077.81x = 77,901,644.34
5. Step 5: Solve for x
   x = 77,901,644.34/10,077.81
6. Step 6: Final answer
   x = 7,730.02