Finding the Fourth Proportional to 10,374.88, 14,317.34 and 5,659.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,374.88 : 14,317.34 = 5,659.20 : x
2. Step 2: Convert to fraction form
   10,374.88/14,317.34 = 5,659.20/x
3. Step 3: Cross multiply
   10,374.88x = 14,317.34 × 5,659.20
4. Step 4: Simplify right side
   10,374.88x = 81,024,690.53
5. Step 5: Solve for x
   x = 81,024,690.53/10,374.88
6. Step 6: Final answer
   x = 7,809.70