Finding the Fourth Proportional to 1,415.62, 1,953.68 and 786.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.62 : 1,953.68 = 786.20 : x
2. Step 2: Convert to fraction form
   1,415.62/1,953.68 = 786.20/x
3. Step 3: Cross multiply
   1,415.62x = 1,953.68 × 786.20
4. Step 4: Simplify right side
   1,415.62x = 1,535,969.52
5. Step 5: Solve for x
   x = 1,535,969.52/1,415.62
6. Step 6: Final answer
   x = 1,085.01