Finding the Fourth Proportional to 5,109.78, 7,663.46 and 1,411.93

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.78 : 7,663.46 = 1,411.93 : x
2. Step 2: Convert to fraction form
   5,109.78/7,663.46 = 1,411.93/x
3. Step 3: Cross multiply
   5,109.78x = 7,663.46 × 1,411.93
4. Step 4: Simplify right side
   5,109.78x = 10,820,242.86
5. Step 5: Solve for x
   x = 10,820,242.86/5,109.78
6. Step 6: Final answer
   x = 2,117.56