Finding the Fourth Proportional to 5,109.24, 7,663.80 and 1,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.24 : 7,663.80 = 1,411.50 : x
2. Step 2: Convert to fraction form
   5,109.24/7,663.80 = 1,411.50/x
3. Step 3: Cross multiply
   5,109.24x = 7,663.80 × 1,411.50
4. Step 4: Simplify right side
   5,109.24x = 10,817,453.70
5. Step 5: Solve for x
   x = 10,817,453.70/5,109.24
6. Step 6: Final answer
   x = 2,117.23