Finding the Fourth Proportional to 1,150.77, 1,725.89 and 565.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.77 : 1,725.89 = 565.19 : x
2. Step 2: Convert to fraction form
   1,150.77/1,725.89 = 565.19/x
3. Step 3: Cross multiply
   1,150.77x = 1,725.89 × 565.19
4. Step 4: Simplify right side
   1,150.77x = 975,444.31
5. Step 5: Solve for x
   x = 975,444.31/1,150.77
6. Step 6: Final answer
   x = 847.64