Finding the Fourth Proportional to 10,656.83, 14,706.56 and 6,180.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,656.83 : 14,706.56 = 6,180.77 : x
2. Step 2: Convert to fraction form
   10,656.83/14,706.56 = 6,180.77/x
3. Step 3: Cross multiply
   10,656.83x = 14,706.56 × 6,180.77
4. Step 4: Simplify right side
   10,656.83x = 90,897,917.07
5. Step 5: Solve for x
   x = 90,897,917.07/10,656.83
6. Step 6: Final answer
   x = 8,529.54