Finding the Fourth Proportional to 10,345.85, 14,277.59 and 5,869.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345.85 : 14,277.59 = 5,869.79 : x
2. Step 2: Convert to fraction form
   10,345.85/14,277.59 = 5,869.79/x
3. Step 3: Cross multiply
   10,345.85x = 14,277.59 × 5,869.79
4. Step 4: Simplify right side
   10,345.85x = 83,806,383.62
5. Step 5: Solve for x
   x = 83,806,383.62/10,345.85
6. Step 6: Final answer
   x = 8,100.49