Finding the Fourth Proportional to 10,077.06, 13,906.58 and 5,601

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.06 : 13,906.58 = 5,601 : x
2. Step 2: Convert to fraction form
   10,077.06/13,906.58 = 5,601/x
3. Step 3: Cross multiply
   10,077.06x = 13,906.58 × 5,601
4. Step 4: Simplify right side
   10,077.06x = 77,890,726.58
5. Step 5: Solve for x
   x = 77,890,726.58/10,077.06
6. Step 6: Final answer
   x = 7,729.51