Finding the Fourth Proportional to 9,782.10, 13,499.05 and 5,475.13

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.10 : 13,499.05 = 5,475.13 : x
2. Step 2: Convert to fraction form
   9,782.10/13,499.05 = 5,475.13/x
3. Step 3: Cross multiply
   9,782.10x = 13,499.05 × 5,475.13
4. Step 4: Simplify right side
   9,782.10x = 73,909,019.88
5. Step 5: Solve for x
   x = 73,909,019.88/9,782.10
6. Step 6: Final answer
   x = 7,555.54