Finding the Fourth Proportional to 7,780.83, 10,734.12 and 5,262.01

Step by Step Solution

1. Step 1: Write the proportion equation
   7,780.83 : 10,734.12 = 5,262.01 : x
2. Step 2: Convert to fraction form
   7,780.83/10,734.12 = 5,262.01/x
3. Step 3: Cross multiply
   7,780.83x = 10,734.12 × 5,262.01
4. Step 4: Simplify right side
   7,780.83x = 56,483,019.95
5. Step 5: Solve for x
   x = 56,483,019.95/7,780.83
6. Step 6: Final answer
   x = 7,259.26