Finding the Fourth Proportional to 1,105.78, 1,657.10 and 975.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.78 : 1,657.10 = 975.50 : x
2. Step 2: Convert to fraction form
   1,105.78/1,657.10 = 975.50/x
3. Step 3: Cross multiply
   1,105.78x = 1,657.10 × 975.50
4. Step 4: Simplify right side
   1,105.78x = 1,616,501.05
5. Step 5: Solve for x
   x = 1,616,501.05/1,105.78
6. Step 6: Final answer
   x = 1,461.86