Finding the Fourth Proportional to 1,007.51, 1,390.50 and 565.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.51 : 1,390.50 = 565.52 : x
2. Step 2: Convert to fraction form
   1,007.51/1,390.50 = 565.52/x
3. Step 3: Cross multiply
   1,007.51x = 1,390.50 × 565.52
4. Step 4: Simplify right side
   1,007.51x = 786,348.61
5. Step 5: Solve for x
   x = 786,348.61/1,007.51
6. Step 6: Final answer
   x = 780.49