Finding the Fourth Proportional to 1,415.42, 1,953.38 and 785.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.42 : 1,953.38 = 785.98 : x
2. Step 2: Convert to fraction form
   1,415.42/1,953.38 = 785.98/x
3. Step 3: Cross multiply
   1,415.42x = 1,953.38 × 785.98
4. Step 4: Simplify right side
   1,415.42x = 1,535,317.61
5. Step 5: Solve for x
   x = 1,535,317.61/1,415.42
6. Step 6: Final answer
   x = 1,084.71