Finding the Fourth Proportional to 11,588, 17,385.60 and 3,380

Step by Step Solution

1. Step 1: Write the proportion equation
   11,588 : 17,385.60 = 3,380 : x
2. Step 2: Convert to fraction form
   11,588/17,385.60 = 3,380/x
3. Step 3: Cross multiply
   11,588x = 17,385.60 × 3,380
4. Step 4: Simplify right side
   11,588x = 58,763,328.00
5. Step 5: Solve for x
   x = 58,763,328.00/11,588
6. Step 6: Final answer
   x = 5,071.05