Finding the Fourth Proportional to 10,156.01, 14,014.86 and 5,906.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156.01 : 14,014.86 = 5,906.48 : x
2. Step 2: Convert to fraction form
   10,156.01/14,014.86 = 5,906.48/x
3. Step 3: Cross multiply
   10,156.01x = 14,014.86 × 5,906.48
4. Step 4: Simplify right side
   10,156.01x = 82,778,490.29
5. Step 5: Solve for x
   x = 82,778,490.29/10,156.01
6. Step 6: Final answer
   x = 8,150.69