Finding the Fourth Proportional to 10,156.36, 14,015.78 and 5,680.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156.36 : 14,015.78 = 5,680.01 : x
2. Step 2: Convert to fraction form
   10,156.36/14,015.78 = 5,680.01/x
3. Step 3: Cross multiply
   10,156.36x = 14,015.78 × 5,680.01
4. Step 4: Simplify right side
   10,156.36x = 79,609,830.45
5. Step 5: Solve for x
   x = 79,609,830.45/10,156.36
6. Step 6: Final answer
   x = 7,838.42