Finding the Fourth Proportional to 9,002.08, 12,419.02 and 5,642.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,002.08 : 12,419.02 = 5,642.60 : x
2. Step 2: Convert to fraction form
   9,002.08/12,419.02 = 5,642.60/x
3. Step 3: Cross multiply
   9,002.08x = 12,419.02 × 5,642.60
4. Step 4: Simplify right side
   9,002.08x = 70,075,562.25
5. Step 5: Solve for x
   x = 70,075,562.25/9,002.08
6. Step 6: Final answer
   x = 7,784.37