Finding the Fourth Proportional to 10,372.50, 14,314.05 and 5,656.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,372.50 : 14,314.05 = 5,656.82 : x
2. Step 2: Convert to fraction form
   10,372.50/14,314.05 = 5,656.82/x
3. Step 3: Cross multiply
   10,372.50x = 14,314.05 × 5,656.82
4. Step 4: Simplify right side
   10,372.50x = 80,971,932.75
5. Step 5: Solve for x
   x = 80,971,932.75/10,372.50
6. Step 6: Final answer
   x = 7,806.40