Finding the Fourth Proportional to 11,666.34, 17,499.78 and 3,875.76

Step by Step Solution

1. Step 1: Write the proportion equation
   11,666.34 : 17,499.78 = 3,875.76 : x
2. Step 2: Convert to fraction form
   11,666.34/17,499.78 = 3,875.76/x
3. Step 3: Cross multiply
   11,666.34x = 17,499.78 × 3,875.76
4. Step 4: Simplify right side
   11,666.34x = 67,824,947.33
5. Step 5: Solve for x
   x = 67,824,947.33/11,666.34
6. Step 6: Final answer
   x = 5,813.73