Finding the Fourth Proportional to 1,164.42, 1,746.45 and 1,100.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.42 : 1,746.45 = 1,100.16 : x
2. Step 2: Convert to fraction form
   1,164.42/1,746.45 = 1,100.16/x
3. Step 3: Cross multiply
   1,164.42x = 1,746.45 × 1,100.16
4. Step 4: Simplify right side
   1,164.42x = 1,921,374.43
5. Step 5: Solve for x
   x = 1,921,374.43/1,164.42
6. Step 6: Final answer
   x = 1,650.07