Finding the Fourth Proportional to 10,123.05, 13,969.71 and 5,585.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,123.05 : 13,969.71 = 5,585.77 : x
2. Step 2: Convert to fraction form
   10,123.05/13,969.71 = 5,585.77/x
3. Step 3: Cross multiply
   10,123.05x = 13,969.71 × 5,585.77
4. Step 4: Simplify right side
   10,123.05x = 78,031,529.84
5. Step 5: Solve for x
   x = 78,031,529.84/10,123.05
6. Step 6: Final answer
   x = 7,708.31