Finding the Fourth Proportional to 13,769.76, 19,002.33 and 7,802.58

Step by Step Solution

1. Step 1: Write the proportion equation
   13,769.76 : 19,002.33 = 7,802.58 : x
2. Step 2: Convert to fraction form
   13,769.76/19,002.33 = 7,802.58/x
3. Step 3: Cross multiply
   13,769.76x = 19,002.33 × 7,802.58
4. Step 4: Simplify right side
   13,769.76x = 148,267,200.01
5. Step 5: Solve for x
   x = 148,267,200.01/13,769.76
6. Step 6: Final answer
   x = 10,767.60