Finding the Fourth Proportional to 10,175.58, 14,041.89 and 5,926.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,175.58 : 14,041.89 = 5,926.77 : x
2. Step 2: Convert to fraction form
   10,175.58/14,041.89 = 5,926.77/x
3. Step 3: Cross multiply
   10,175.58x = 14,041.89 × 5,926.77
4. Step 4: Simplify right side
   10,175.58x = 83,223,052.40
5. Step 5: Solve for x
   x = 83,223,052.40/10,175.58
6. Step 6: Final answer
   x = 8,178.70