Finding the Fourth Proportional to 9,886.86, 13,643.34 and 5,637.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,886.86 : 13,643.34 = 5,637.30 : x
2. Step 2: Convert to fraction form
   9,886.86/13,643.34 = 5,637.30/x
3. Step 3: Cross multiply
   9,886.86x = 13,643.34 × 5,637.30
4. Step 4: Simplify right side
   9,886.86x = 76,911,528.28
5. Step 5: Solve for x
   x = 76,911,528.28/9,886.86
6. Step 6: Final answer
   x = 7,779.17