Finding the Fourth Proportional to 11,985.32, 17,978.46 and 5,827.88

Step by Step Solution

1. Step 1: Write the proportion equation
   11,985.32 : 17,978.46 = 5,827.88 : x
2. Step 2: Convert to fraction form
   11,985.32/17,978.46 = 5,827.88/x
3. Step 3: Cross multiply
   11,985.32x = 17,978.46 × 5,827.88
4. Step 4: Simplify right side
   11,985.32x = 104,776,307.46
5. Step 5: Solve for x
   x = 104,776,307.46/11,985.32
6. Step 6: Final answer
   x = 8,742.05