Finding the Fourth Proportional to 10,374.78, 14,317.24 and 5,659.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,374.78 : 14,317.24 = 5,659.16 : x
2. Step 2: Convert to fraction form
   10,374.78/14,317.24 = 5,659.16/x
3. Step 3: Cross multiply
   10,374.78x = 14,317.24 × 5,659.16
4. Step 4: Simplify right side
   10,374.78x = 81,023,551.92
5. Step 5: Solve for x
   x = 81,023,551.92/10,374.78
6. Step 6: Final answer
   x = 7,809.66