Finding the Fourth Proportional to 10,588.80, 14,614.48 and 6,111.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.80 : 14,614.48 = 6,111.94 : x
2. Step 2: Convert to fraction form
   10,588.80/14,614.48 = 6,111.94/x
3. Step 3: Cross multiply
   10,588.80x = 14,614.48 × 6,111.94
4. Step 4: Simplify right side
   10,588.80x = 89,322,824.89
5. Step 5: Solve for x
   x = 89,322,824.89/10,588.80
6. Step 6: Final answer
   x = 8,435.59