Finding the Fourth Proportional to 1,300.69, 1,951.58 and 781.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.69 : 1,951.58 = 781.75 : x
2. Step 2: Convert to fraction form
   1,300.69/1,951.58 = 781.75/x
3. Step 3: Cross multiply
   1,300.69x = 1,951.58 × 781.75
4. Step 4: Simplify right side
   1,300.69x = 1,525,647.67
5. Step 5: Solve for x
   x = 1,525,647.67/1,300.69
6. Step 6: Final answer
   x = 1,172.95