Finding the Fourth Proportional to 1,404.16, 1,937.86 and 774.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.16 : 1,937.86 = 774.82 : x
2. Step 2: Convert to fraction form
   1,404.16/1,937.86 = 774.82/x
3. Step 3: Cross multiply
   1,404.16x = 1,937.86 × 774.82
4. Step 4: Simplify right side
   1,404.16x = 1,501,492.69
5. Step 5: Solve for x
   x = 1,501,492.69/1,404.16
6. Step 6: Final answer
   x = 1,069.32