Finding the Fourth Proportional to 10,077.77, 13,907.31 and 5,601.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.77 : 13,907.31 = 5,601.38 : x
2. Step 2: Convert to fraction form
   10,077.77/13,907.31 = 5,601.38/x
3. Step 3: Cross multiply
   10,077.77x = 13,907.31 × 5,601.38
4. Step 4: Simplify right side
   10,077.77x = 77,900,128.09
5. Step 5: Solve for x
   x = 77,900,128.09/10,077.77
6. Step 6: Final answer
   x = 7,729.90