Finding the Fourth Proportional to 11,566.18, 17,352.03 and 3,775

Step by Step Solution

1. Step 1: Write the proportion equation
   11,566.18 : 17,352.03 = 3,775 : x
2. Step 2: Convert to fraction form
   11,566.18/17,352.03 = 3,775/x
3. Step 3: Cross multiply
   11,566.18x = 17,352.03 × 3,775
4. Step 4: Simplify right side
   11,566.18x = 65,503,913.25
5. Step 5: Solve for x
   x = 65,503,913.25/11,566.18
6. Step 6: Final answer
   x = 5,663.40