Finding the Fourth Proportional to 1,535.31, 2,303.27 and 561.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.31 : 2,303.27 = 561.29 : x
2. Step 2: Convert to fraction form
   1,535.31/2,303.27 = 561.29/x
3. Step 3: Cross multiply
   1,535.31x = 2,303.27 × 561.29
4. Step 4: Simplify right side
   1,535.31x = 1,292,788.10
5. Step 5: Solve for x
   x = 1,292,788.10/1,535.31
6. Step 6: Final answer
   x = 842.04