Finding the Fourth Proportional to 1,415.16, 1,953.04 and 785.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.16 : 1,953.04 = 785.89 : x
2. Step 2: Convert to fraction form
   1,415.16/1,953.04 = 785.89/x
3. Step 3: Cross multiply
   1,415.16x = 1,953.04 × 785.89
4. Step 4: Simplify right side
   1,415.16x = 1,534,874.61
5. Step 5: Solve for x
   x = 1,534,874.61/1,415.16
6. Step 6: Final answer
   x = 1,084.59