Finding the Fourth Proportional to 3,575.84, 5,363.82 and 978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,575.84 : 5,363.82 = 978.75 : x
2. Step 2: Convert to fraction form
   3,575.84/5,363.82 = 978.75/x
3. Step 3: Cross multiply
   3,575.84x = 5,363.82 × 978.75
4. Step 4: Simplify right side
   3,575.84x = 5,249,838.83
5. Step 5: Solve for x
   x = 5,249,838.83/3,575.84
6. Step 6: Final answer
   x = 1,468.14