Finding the Fourth Proportional to 10,375.83, 14,282.64 and 7,853.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,375.83 : 14,282.64 = 7,853.49 : x
2. Step 2: Convert to fraction form
   10,375.83/14,282.64 = 7,853.49/x
3. Step 3: Cross multiply
   10,375.83x = 14,282.64 × 7,853.49
4. Step 4: Simplify right side
   10,375.83x = 112,168,570.41
5. Step 5: Solve for x
   x = 112,168,570.41/10,375.83
6. Step 6: Final answer
   x = 10,810.56