Finding the Fourth Proportional to 2,366.16, 3,265.86 and 1,569.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,366.16 : 3,265.86 = 1,569.60 : x
2. Step 2: Convert to fraction form
   2,366.16/3,265.86 = 1,569.60/x
3. Step 3: Cross multiply
   2,366.16x = 3,265.86 × 1,569.60
4. Step 4: Simplify right side
   2,366.16x = 5,126,093.86
5. Step 5: Solve for x
   x = 5,126,093.86/2,366.16
6. Step 6: Final answer
   x = 2,166.42