Finding the Fourth Proportional to 1,415.86, 1,953.86 and 786.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.86 : 1,953.86 = 786.38 : x
2. Step 2: Convert to fraction form
   1,415.86/1,953.86 = 786.38/x
3. Step 3: Cross multiply
   1,415.86x = 1,953.86 × 786.38
4. Step 4: Simplify right side
   1,415.86x = 1,536,476.43
5. Step 5: Solve for x
   x = 1,536,476.43/1,415.86
6. Step 6: Final answer
   x = 1,085.19