Finding the Fourth Proportional to 1,886.16, 2,600.52 and 1,536.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,886.16 : 2,600.52 = 1,536.08 : x
2. Step 2: Convert to fraction form
   1,886.16/2,600.52 = 1,536.08/x
3. Step 3: Cross multiply
   1,886.16x = 2,600.52 × 1,536.08
4. Step 4: Simplify right side
   1,886.16x = 3,994,606.76
5. Step 5: Solve for x
   x = 3,994,606.76/1,886.16
6. Step 6: Final answer
   x = 2,117.85