Finding the Fourth Proportional to 1,569.49, 2,165.61 and 906.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,569.49 : 2,165.61 = 906.10 : x
2. Step 2: Convert to fraction form
   1,569.49/2,165.61 = 906.10/x
3. Step 3: Cross multiply
   1,569.49x = 2,165.61 × 906.10
4. Step 4: Simplify right side
   1,569.49x = 1,962,259.22
5. Step 5: Solve for x
   x = 1,962,259.22/1,569.49
6. Step 6: Final answer
   x = 1,250.25