Finding the Fourth Proportional to 13,870.32, 19,141.07 and 7,582.70

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870.32 : 19,141.07 = 7,582.70 : x
2. Step 2: Convert to fraction form
   13,870.32/19,141.07 = 7,582.70/x
3. Step 3: Cross multiply
   13,870.32x = 19,141.07 × 7,582.70
4. Step 4: Simplify right side
   13,870.32x = 145,140,991.49
5. Step 5: Solve for x
   x = 145,140,991.49/13,870.32
6. Step 6: Final answer
   x = 10,464.14