Finding the Fourth Proportional to 9,410, 12,985.80 and 5,219.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,410 : 12,985.80 = 5,219.12 : x
2. Step 2: Convert to fraction form
   9,410/12,985.80 = 5,219.12/x
3. Step 3: Cross multiply
   9,410x = 12,985.80 × 5,219.12
4. Step 4: Simplify right side
   9,410x = 67,774,448.50
5. Step 5: Solve for x
   x = 67,774,448.50/9,410
6. Step 6: Final answer
   x = 7,202.39