Finding the Fourth Proportional to 1,525.86, 2,290.41 and 978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.86 : 2,290.41 = 978.50 : x
2. Step 2: Convert to fraction form
   1,525.86/2,290.41 = 978.50/x
3. Step 3: Cross multiply
   1,525.86x = 2,290.41 × 978.50
4. Step 4: Simplify right side
   1,525.86x = 2,241,171.91
5. Step 5: Solve for x
   x = 2,241,171.91/1,525.86
6. Step 6: Final answer
   x = 1,468.79