Finding the Fourth Proportional to 2,377.86, 3,566.34 and 734.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377.86 : 3,566.34 = 734.16 : x
2. Step 2: Convert to fraction form
   2,377.86/3,566.34 = 734.16/x
3. Step 3: Cross multiply
   2,377.86x = 3,566.34 × 734.16
4. Step 4: Simplify right side
   2,377.86x = 2,618,264.17
5. Step 5: Solve for x
   x = 2,618,264.17/2,377.86
6. Step 6: Final answer
   x = 1,101.10