Finding the Fourth Proportional to 10,372.54, 14,314.17 and 5,656.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,372.54 : 14,314.17 = 5,656.90 : x
2. Step 2: Convert to fraction form
   10,372.54/14,314.17 = 5,656.90/x
3. Step 3: Cross multiply
   10,372.54x = 14,314.17 × 5,656.90
4. Step 4: Simplify right side
   10,372.54x = 80,973,828.27
5. Step 5: Solve for x
   x = 80,973,828.27/10,372.54
6. Step 6: Final answer
   x = 7,806.56