Finding the Fourth Proportional to 10,374.88, 14,317.20 and 5,659.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,374.88 : 14,317.20 = 5,659.06 : x
2. Step 2: Convert to fraction form
   10,374.88/14,317.20 = 5,659.06/x
3. Step 3: Cross multiply
   10,374.88x = 14,317.20 × 5,659.06
4. Step 4: Simplify right side
   10,374.88x = 81,021,893.83
5. Step 5: Solve for x
   x = 81,021,893.83/10,374.88
6. Step 6: Final answer
   x = 7,809.43