Finding the Fourth Proportional to 5,109.18, 7,663.61 and 1,411.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.18 : 7,663.61 = 1,411.63 : x
2. Step 2: Convert to fraction form
   5,109.18/7,663.61 = 1,411.63/x
3. Step 3: Cross multiply
   5,109.18x = 7,663.61 × 1,411.63
4. Step 4: Simplify right side
   5,109.18x = 10,818,166.15
5. Step 5: Solve for x
   x = 10,818,166.15/5,109.18
6. Step 6: Final answer
   x = 2,117.40