Finding the Fourth Proportional to 10,156.05, 14,014.80 and 5,678.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156.05 : 14,014.80 = 5,678.91 : x
2. Step 2: Convert to fraction form
   10,156.05/14,014.80 = 5,678.91/x
3. Step 3: Cross multiply
   10,156.05x = 14,014.80 × 5,678.91
4. Step 4: Simplify right side
   10,156.05x = 79,588,787.87
5. Step 5: Solve for x
   x = 79,588,787.87/10,156.05
6. Step 6: Final answer
   x = 7,836.59