Finding the Fourth Proportional to 13,870, 19,140.60 and 7,582.42

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870 : 19,140.60 = 7,582.42 : x
2. Step 2: Convert to fraction form
   13,870/19,140.60 = 7,582.42/x
3. Step 3: Cross multiply
   13,870x = 19,140.60 × 7,582.42
4. Step 4: Simplify right side
   13,870x = 145,132,068.25
5. Step 5: Solve for x
   x = 145,132,068.25/13,870
6. Step 6: Final answer
   x = 10,463.74