Finding the Fourth Proportional to 1,010.53, 1,514.38 and 565.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,010.53 : 1,514.38 = 565.39 : x
2. Step 2: Convert to fraction form
   1,010.53/1,514.38 = 565.39/x
3. Step 3: Cross multiply
   1,010.53x = 1,514.38 × 565.39
4. Step 4: Simplify right side
   1,010.53x = 856,210.34
5. Step 5: Solve for x
   x = 856,210.34/1,010.53
6. Step 6: Final answer
   x = 847.29