Finding the Fourth Proportional to 7,876.34, 10,872.69 and 5,634.32

Step by Step Solution

1. Step 1: Write the proportion equation
   7,876.34 : 10,872.69 = 5,634.32 : x
2. Step 2: Convert to fraction form
   7,876.34/10,872.69 = 5,634.32/x
3. Step 3: Cross multiply
   7,876.34x = 10,872.69 × 5,634.32
4. Step 4: Simplify right side
   7,876.34x = 61,260,214.72
5. Step 5: Solve for x
   x = 61,260,214.72/7,876.34
6. Step 6: Final answer
   x = 7,777.75