Finding the Fourth Proportional to 7,784.18, 10,738.53 and 5,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,784.18 : 10,738.53 = 5,265.50 : x
2. Step 2: Convert to fraction form
   7,784.18/10,738.53 = 5,265.50/x
3. Step 3: Cross multiply
   7,784.18x = 10,738.53 × 5,265.50
4. Step 4: Simplify right side
   7,784.18x = 56,543,729.72
5. Step 5: Solve for x
   x = 56,543,729.72/7,784.18
6. Step 6: Final answer
   x = 7,263.93