Finding the Fourth Proportional to 1,415.02, 1,952.69 and 785.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.02 : 1,952.69 = 785.53 : x
2. Step 2: Convert to fraction form
   1,415.02/1,952.69 = 785.53/x
3. Step 3: Cross multiply
   1,415.02x = 1,952.69 × 785.53
4. Step 4: Simplify right side
   1,415.02x = 1,533,898.70
5. Step 5: Solve for x
   x = 1,533,898.70/1,415.02
6. Step 6: Final answer
   x = 1,084.01