Finding the Fourth Proportional to 13,770.65, 19,002.89 and 7,802.93

Step by Step Solution

1. Step 1: Write the proportion equation
   13,770.65 : 19,002.89 = 7,802.93 : x
2. Step 2: Convert to fraction form
   13,770.65/19,002.89 = 7,802.93/x
3. Step 3: Cross multiply
   13,770.65x = 19,002.89 × 7,802.93
4. Step 4: Simplify right side
   13,770.65x = 148,278,181.45
5. Step 5: Solve for x
   x = 148,278,181.45/13,770.65
6. Step 6: Final answer
   x = 10,767.70