Finding the Fourth Proportional to 11,345.51, 15,648.68 and 7,566.78

Step by Step Solution

1. Step 1: Write the proportion equation
   11,345.51 : 15,648.68 = 7,566.78 : x
2. Step 2: Convert to fraction form
   11,345.51/15,648.68 = 7,566.78/x
3. Step 3: Cross multiply
   11,345.51x = 15,648.68 × 7,566.78
4. Step 4: Simplify right side
   11,345.51x = 118,410,081.02
5. Step 5: Solve for x
   x = 118,410,081.02/11,345.51
6. Step 6: Final answer
   x = 10,436.74