Finding the Fourth Proportional to 10,307.34, 14,224.16 and 5,591.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,307.34 : 14,224.16 = 5,591.66 : x
2. Step 2: Convert to fraction form
   10,307.34/14,224.16 = 5,591.66/x
3. Step 3: Cross multiply
   10,307.34x = 14,224.16 × 5,591.66
4. Step 4: Simplify right side
   10,307.34x = 79,536,567.43
5. Step 5: Solve for x
   x = 79,536,567.43/10,307.34
6. Step 6: Final answer
   x = 7,716.50