Finding the Fourth Proportional to 1,516.10, 2,275.59 and 786.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,516.10 : 2,275.59 = 786.20 : x
2. Step 2: Convert to fraction form
   1,516.10/2,275.59 = 786.20/x
3. Step 3: Cross multiply
   1,516.10x = 2,275.59 × 786.20
4. Step 4: Simplify right side
   1,516.10x = 1,789,068.86
5. Step 5: Solve for x
   x = 1,789,068.86/1,516.10
6. Step 6: Final answer
   x = 1,180.05