Finding the Fourth Proportional to 11,878.58, 16,385.31 and 7,845.46

Step by Step Solution

1. Step 1: Write the proportion equation
   11,878.58 : 16,385.31 = 7,845.46 : x
2. Step 2: Convert to fraction form
   11,878.58/16,385.31 = 7,845.46/x
3. Step 3: Cross multiply
   11,878.58x = 16,385.31 × 7,845.46
4. Step 4: Simplify right side
   11,878.58x = 128,550,253.23
5. Step 5: Solve for x
   x = 128,550,253.23/11,878.58
6. Step 6: Final answer
   x = 10,822.02