Finding the Fourth Proportional to 11,564.83, 17,342.67 and 4,166.71

Step by Step Solution

1. Step 1: Write the proportion equation
   11,564.83 : 17,342.67 = 4,166.71 : x
2. Step 2: Convert to fraction form
   11,564.83/17,342.67 = 4,166.71/x
3. Step 3: Cross multiply
   11,564.83x = 17,342.67 × 4,166.71
4. Step 4: Simplify right side
   11,564.83x = 72,261,876.52
5. Step 5: Solve for x
   x = 72,261,876.52/11,564.83
6. Step 6: Final answer
   x = 6,248.42