Finding the Fourth Proportional to 9,976.10, 13,766.85 and 5,438.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,976.10 : 13,766.85 = 5,438.83 : x
2. Step 2: Convert to fraction form
   9,976.10/13,766.85 = 5,438.83/x
3. Step 3: Cross multiply
   9,976.10x = 13,766.85 × 5,438.83
4. Step 4: Simplify right side
   9,976.10x = 74,875,556.79
5. Step 5: Solve for x
   x = 74,875,556.79/9,976.10
6. Step 6: Final answer
   x = 7,505.49