Finding the Fourth Proportional to 1,094.06, 1,641.18 and 766.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,094.06 : 1,641.18 = 766.10 : x
2. Step 2: Convert to fraction form
   1,094.06/1,641.18 = 766.10/x
3. Step 3: Cross multiply
   1,094.06x = 1,641.18 × 766.10
4. Step 4: Simplify right side
   1,094.06x = 1,257,308.00
5. Step 5: Solve for x
   x = 1,257,308.00/1,094.06
6. Step 6: Final answer
   x = 1,149.21