Finding the Fourth Proportional to 1,510.90, 2,264.52 and 780.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,510.90 : 2,264.52 = 780.07 : x
2. Step 2: Convert to fraction form
   1,510.90/2,264.52 = 780.07/x
3. Step 3: Cross multiply
   1,510.90x = 2,264.52 × 780.07
4. Step 4: Simplify right side
   1,510.90x = 1,766,484.12
5. Step 5: Solve for x
   x = 1,766,484.12/1,510.90
6. Step 6: Final answer
   x = 1,169.16