Finding the Fourth Proportional to 1,164.38, 1,750.17 and 1,106.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.38 : 1,750.17 = 1,106.78 : x
2. Step 2: Convert to fraction form
   1,164.38/1,750.17 = 1,106.78/x
3. Step 3: Cross multiply
   1,164.38x = 1,750.17 × 1,106.78
4. Step 4: Simplify right side
   1,164.38x = 1,937,053.15
5. Step 5: Solve for x
   x = 1,937,053.15/1,164.38
6. Step 6: Final answer
   x = 1,663.59