Finding the Fourth Proportional to 7,781.57, 10,725.77 and 5,513.67

Step by Step Solution

1. Step 1: Write the proportion equation
   7,781.57 : 10,725.77 = 5,513.67 : x
2. Step 2: Convert to fraction form
   7,781.57/10,725.77 = 5,513.67/x
3. Step 3: Cross multiply
   7,781.57x = 10,725.77 × 5,513.67
4. Step 4: Simplify right side
   7,781.57x = 59,138,384.30
5. Step 5: Solve for x
   x = 59,138,384.30/7,781.57
6. Step 6: Final answer
   x = 7,599.80