Finding the Fourth Proportional to 23,380.19, 35,075.22 and 7,584.00

Step by Step Solution

1. Step 1: Write the proportion equation
   23,380.19 : 35,075.22 = 7,584.00 : x
2. Step 2: Convert to fraction form
   23,380.19/35,075.22 = 7,584.00/x
3. Step 3: Cross multiply
   23,380.19x = 35,075.22 × 7,584.00
4. Step 4: Simplify right side
   23,380.19x = 266,010,293.10
5. Step 5: Solve for x
   x = 266,010,293.10/23,380.19
6. Step 6: Final answer
   x = 11,377.59