Finding the Fourth Proportional to 7,781.83, 10,735.50 and 5,263.01

Step by Step Solution

1. Step 1: Write the proportion equation
   7,781.83 : 10,735.50 = 5,263.01 : x
2. Step 2: Convert to fraction form
   7,781.83/10,735.50 = 5,263.01/x
3. Step 3: Cross multiply
   7,781.83x = 10,735.50 × 5,263.01
4. Step 4: Simplify right side
   7,781.83x = 56,501,043.86
5. Step 5: Solve for x
   x = 56,501,043.86/7,781.83
6. Step 6: Final answer
   x = 7,260.64