Finding the Fourth Proportional to 10,372.51, 14,314.15 and 5,656.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,372.51 : 14,314.15 = 5,656.80 : x
2. Step 2: Convert to fraction form
   10,372.51/14,314.15 = 5,656.80/x
3. Step 3: Cross multiply
   10,372.51x = 14,314.15 × 5,656.80
4. Step 4: Simplify right side
   10,372.51x = 80,972,283.72
5. Step 5: Solve for x
   x = 80,972,283.72/10,372.51
6. Step 6: Final answer
   x = 7,806.43