Finding the Fourth Proportional to 11,892.77, 17,826.28 and 7,735.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,892.77 : 17,826.28 = 7,735.75 : x
2. Step 2: Convert to fraction form
   11,892.77/17,826.28 = 7,735.75/x
3. Step 3: Cross multiply
   11,892.77x = 17,826.28 × 7,735.75
4. Step 4: Simplify right side
   11,892.77x = 137,899,581.60
5. Step 5: Solve for x
   x = 137,899,581.60/11,892.77
6. Step 6: Final answer
   x = 11,595.25