Finding the Fourth Proportional to 9,830.50, 13,566.09 and 5,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830.50 : 13,566.09 = 5,414.50 : x
2. Step 2: Convert to fraction form
   9,830.50/13,566.09 = 5,414.50/x
3. Step 3: Cross multiply
   9,830.50x = 13,566.09 × 5,414.50
4. Step 4: Simplify right side
   9,830.50x = 73,453,594.31
5. Step 5: Solve for x
   x = 73,453,594.31/9,830.50
6. Step 6: Final answer
   x = 7,472.01