Finding the Fourth Proportional to 7,577.59, 10,454.25 and 7,565.91

Step by Step Solution

1. Step 1: Write the proportion equation
   7,577.59 : 10,454.25 = 7,565.91 : x
2. Step 2: Convert to fraction form
   7,577.59/10,454.25 = 7,565.91/x
3. Step 3: Cross multiply
   7,577.59x = 10,454.25 × 7,565.91
4. Step 4: Simplify right side
   7,577.59x = 79,095,914.62
5. Step 5: Solve for x
   x = 79,095,914.62/7,577.59
6. Step 6: Final answer
   x = 10,438.14