Finding the Fourth Proportional to 10,374.88, 14,317.68 and 5,659.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,374.88 : 14,317.68 = 5,659.42 : x
2. Step 2: Convert to fraction form
   10,374.88/14,317.68 = 5,659.42/x
3. Step 3: Cross multiply
   10,374.88x = 14,317.68 × 5,659.42
4. Step 4: Simplify right side
   10,374.88x = 81,029,764.55
5. Step 5: Solve for x
   x = 81,029,764.55/10,374.88
6. Step 6: Final answer
   x = 7,810.19