Finding the Fourth Proportional to 7,884.67, 10,874.10 and 5,623.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,884.67 : 10,874.10 = 5,623.69 : x
2. Step 2: Convert to fraction form
   7,884.67/10,874.10 = 5,623.69/x
3. Step 3: Cross multiply
   7,884.67x = 10,874.10 × 5,623.69
4. Step 4: Simplify right side
   7,884.67x = 61,152,567.43
5. Step 5: Solve for x
   x = 61,152,567.43/7,884.67
6. Step 6: Final answer
   x = 7,755.88