Finding the Fourth Proportional to 1,296.63, 1,945.98 and 566.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,296.63 : 1,945.98 = 566.10 : x
2. Step 2: Convert to fraction form
   1,296.63/1,945.98 = 566.10/x
3. Step 3: Cross multiply
   1,296.63x = 1,945.98 × 566.10
4. Step 4: Simplify right side
   1,296.63x = 1,101,619.28
5. Step 5: Solve for x
   x = 1,101,619.28/1,296.63
6. Step 6: Final answer
   x = 849.60