Finding the Fourth Proportional to 10,374.87, 14,317.53 and 5,659.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,374.87 : 14,317.53 = 5,659.32 : x
2. Step 2: Convert to fraction form
   10,374.87/14,317.53 = 5,659.32/x
3. Step 3: Cross multiply
   10,374.87x = 14,317.53 × 5,659.32
4. Step 4: Simplify right side
   10,374.87x = 81,027,483.88
5. Step 5: Solve for x
   x = 81,027,483.88/10,374.87
6. Step 6: Final answer
   x = 7,809.98